Against any other opponent, the introduction of a second lightsaber would have been something of a massive surprise. But Trenkyp knew Appius too well and had anticipated it, no, he had expected it.
Appius didn't retort to Trenkyp's confidence with words, but allowed his actions to speak for him. The power of the dark side swelled around him like a vortex and into him. It affected the dark sider immediately and even despite his now ragged breathing, he moved to attack his apprentice with the power of a hungry nexu after its prey.
Trenkyp held his own against the flurry of attacks, though struggled to mount a counter offence of his own. Appius attacked with great speed but his attacks were basic. He attacked high, or he attacked low. He attacked vertically, or he attacked horizontally, with strength or with speed, but not both at the same time. Normally, such attacks would hardly cause such concern for anyone trained in the ways of lightsaber combat, but the problem was that there was no discernable pattern to his movements. The Taldryanite switched at a moment's notice, changing his angle of attack, slowing his speed and then increasing it just a fast, attacking high one second then changing to low then back to high again unexpectedly. The cables and electronics within the walls were shredded to pieces and sparked around them in the chaos of their battle. The raging fires of Mustafar around them served as a perfect backdrop for their conflict.
The Defender had been on the receiving end of this style of fighting before, and it was this prior knowledge that allowed him to defend against it, though fighting back against it? That was a different matter. It didn't help that he himself was starting to feel the effects of the battle.
The Sorcerer's primary lightsaber met with the Kel Dor's, and he immediately spun and pressed his off-hand against the former Battleteam Leader's abdomen. He was sent careening further into the Interrogation Facility and entered a spherical room filled to the brim with a myriad of consoles that did Force knows what. Trenkyp slammed against one of them, which knocked the air he was holding out of his lungs. He reached up to pull himself to his feet when he felt the Force alarm him immediately of the danger about to slice his head clean off his shoulders. He drove out of the way of the Human's attack as both his emerald blades tore through the panel with ease as it set off an alarm within the building when a fire broke out from the console. Red flashing lights and klaxons beamed through the hallways as the younger man finally managed to compose himself.
"How many times have I told you, Trenkyp. Shien is not an effective lightsaber fighting style. It's useful against blasters and that's all, no matter how much you try to compensate for that weakness by dual-wielding," Appius said through panted breaths.
However, the Sorcerer's words fell on deaf ears, as his first apprentice simply braced himself for what was to come next.
"You're right, I did take on a new apprentice and yes, she isn't Force-sensitive. But does that mean I treated her any different to you? No, I didn't. She got the same treatment as you," the Taldryanite continued. "Fighting is the least of your worries? I wish I could say that for certain, but that's not how this universe works. Only the strong survive and the weak get squashed like insects. You have to fight for your right to live and exist in this Brotherhood, and if I have to teach you that the hard way then so be it!"
Appius' focus turned to a loose panel beside him, which shook and suddenly flew towards the other Mystic like a plasma bolt from a blaster. Trenkyp effortlessly cut the flying metal before it could touch him.
"YOU are not Appius," Trenkyp declared strongly, causing the Human to be slightly alarmed. "The Appius I know would have never followed that train of thought. The Appius I know would never try to kill one of his own apprentices. The Appius I know would have never turned to the dark side and commit genocide aboard the Nesolat!"
Judging by the scowl now present on his master's face, it was clear to Trenkyp that the last comment he made hit a nerve.
"You are not Appius, you are nothing more than a monster wearing his flesh like a suit. As far as I'm concerned, my master died when he turned to the dark side, and I'll make sure you can't hurt anyone innocent ever again!"
He grabbed hold of the throwing daggers clipped to his waist and threw them at the Sorcerer with lethal intent. Instead of trying to bat them away with his lightsaber, Appius leapt out of the way of the sharp projectiles before they could hit him and took cover behind one of the consoles in the centre of the room. The Defender followed through and launched Death towards the console Appius hid behind with reckless abandon. As soon as the jade coloured blade touched the electronics, they exploded into a terrifying display of lights, fire and ominous sparks which caused the Human to quickly roll out of the way.
With the power of the Force behind him, making him feel superpowered, Trenkyp ran towards his master, picking up his fallen saber along the way. He front-flipped over the fire and prepared to strike down the Taldryanite before he could retaliate. Unfortunately for him, his vision was obscured by Appius' cloak as the Sorcerer tossed it right into the Kel Dor's face. Trenkyp acted quickly and tore the offending material from his face, only for him to go wide-eyed at Appius holding out the fingers of his left hand towards him.
The Vizsla member knew what was coming, but he was already too late to react. A blinding flash of light assaulted his retinas and forced his eyes shut as he groaned at the burning sensation in his retinas. The Force suddenly alarmed him of incoming danger, and he knew what he had to do. He needed to cut Appius off from his use of the Force, to reduce him to nothing more than his lightsabers.
But with the pain in his eyes, the danger present around him, the heat of the room itself and the pressure of the dark side around him, he couldn't summon the power to defend himself.
Appius roared with primal fury and an electrical storm burst from his fingers and enveloped the Defender like tendrils of agony. Trenkyp screamed in pain, the torrent of electricity ripped into him and cooked his flesh and skin. His eyes rolled to the back of his head and as the stream stopped a few moments later, the Kel Dor's unconscious body dropped to the floor.
Appius collapsed onto his hands as he released his hold on his weapons. He gasped and panted, sweat ran down his face and the intense heat and fire made him feel weak. He coughed as a result of the smoke and realised he needed to get out of here sooner rather than later if he wanted to live. He retrieved his weapons, placing Redeemer on his waist and Liberator behind his back.
He quickly rose to his feet and carefully picked up his apprentice and wrapped the Kel Dor's arm around his shoulder. Step by step he made his way out of the Interrogation Facility with Trenkyp around his shoulders until finally, they reached the outside air.
Appius gently lowered the unconscious man to the floor and took a few steps away from him, taking a moment to catch his breath.
"You are right, Trenkyp. I'm not the man I once was," Appius said as he stared into his ash stained hands. "I became something I promised my own father I would never become. I never wanted to do what I did, but you know what? I'm. Still. Alive. Life isn't as simple as good and evil, as simple as light and dark. Sometimes, you need to do the right thing, no matter how horrible it may be."
The House Ektrosis Aedile turned back to Trenkyp and smiled at him, though it was not one of happiness, but one of regret.
"I know you hate me now, I don't blame you. I would hate me too after everything I've done. But you know what? You passed. You've earned my respect, and I wish you luck in the rest of your endeavours in the Brotherhood. Congratulations, Trenkyp. May the Force be with you, my friend. You don't need me anymore."
Appius left Trenkyp behind, confident that he would wake on his own. He entered the Taldryan ship and ascended out of the harsh, Mustafar atmosphere. Disappointed in himself that he couldn't be more for his apprentice.
Positive Takeaways
Great opening post. Fantastic introduction of the characters and venue both. You set the scene splendidly for the unfolding drama that exists between these two individuals, and bolster it mightily with your use of dialogue. There is a particular piece that I love.
Needs Improvements
There was a bit of confusion midway through your post directly after the dialogue I noted above. I did have to reread the section three times to catch on, which is not something you want to have your readers do to follow your story.
A little more clarity on who is attacking would help in this particular case; the characters should not have to be assumed.