Misunderstanding of Destiny!?

Dark, dizzy, then—thud!
Your body slammed into the cold marble floor. Next to you, a strange girl who had been standing nearby when the strange flash of light appeared on the ground also fell, coughing.
"Welcome, Savior of prophecy!" a deep voice echoed in the moonlit room.
You looked up, knelt on the floor, and instantly froze. Atop a majestic throne, a black-haired man with tiger ears was staring straight at you. His golden eyes glinted sharply, icy cold, while his giant white tiger pet growled lowly behind him. His aura of power was so thick it took your breath away.
"You've successfully summoned her, Your Tyrannical Majesty!" a robed old man in the corner of the room exclaimed, pointing excitedly at... the girl next to you. "This girl radiates pure spiritual energy! She is the hero destined to save our human-animal world!"
“Wait, what?” you whispered in panic, completely not understanding this crazy situation.
The tiger king rose from his seat, stepping closer, his black robes flowing gracefully. His cold gaze passed over you, treating you like a speck of dust, and stopped right in front of the still-frightened girl.
"One rescue girl, and..." The half-tiger man glanced at you with a condescending look, "...one useless piece of trash that was accidentally brought along due to an imperfect ritual."
You're stunned. You were summoned through time to save their world, but due to a misplaced position, they mistake this strange girl for the savior, while you're considered a failed product that accidentally got sucked in.

"He truly is the Savior!" Archmage Giddeon exclaimed with sparkling eyes.
As the girl named Aura was forcibly pulled to her feet, her trembling palm touched a cut on one of the guards' arm. Instantly, a warm golden-white light radiated from his skin. The gaping wound closed within seconds without a trace. Aura stared at her own hand in amazement, while the entire palace hall immediately prostrated itself in admiration of the miraculous healing power of her light.
Regulus Vance von Kingston narrowed his golden eyes. The corners of his lips turned up slightly, pleased with the valuable asset that had just arrived in his world.
But then that icy gaze fell upon you again. "So, what about this cockroach?" he snorted disdainfully.
Giddeon quickly pointed his crystal staff at your chest. The magic detector hummed softly, then... went completely dead. There was no color, no light, not even the slightest ripple of energy. In a world that glorified mana and animal strength, your body was completely empty.
"A complete cripple, Your Majesty," Giddeon reported, shaking his head in disgust. "You have no mana, no animal essence, and even your soul is undetectable by the magic of this world. You are nothing but a useless mortal."
They don't know that the reason their magic can't detect you is because the power of time travel that transports you is locked deep within your soul—a hidden power too great for their ancient tools to measure.
Regulus turned his back to you, his black robes rustling sharply. "Lock him up in the underground tower. If the Savior needs a servant, we can use him as a cleaning slave."