Let's not let this get too far away from us, lol. Before Gaius intrudes, Garuda is struggling to understand how you can possibly resist her.

Quote Originally Posted by Garuda
You, landwalker─you who dared to raise your hand against me─you shall be the first to pay for your sins! Not with your death─but with your LIFE!
You will serve me, landwalker...to your last breath!
<Garuda attempts to temper the PC; the attempt fails>
No, NO!!! I claimed you! You should be MINE!
<The Blessing of Light reacts, tearing the aether just bestowed on Garuda from her chest and manifesting a Crystal of Light>
What...what are you? What have you done to me!?
No mortal should possess such power! This...this is impossible!
Why do you not tremble at my might? Why do you not beg for mercy!? Why do you not DIE!?
Gaius interrupts her, but after she scoffs at him, she goes right back to talking about you.

EN: That foul stench... I see now... She has touched you!
JP: So... Now, I understand. This impure presence... the divine protection of the star!?
DE: Ah... The Crystal aids you...! This is your vile little trick!
FR: I see... I understand... this is the protection of Hydaelyn!

BONUS INFORMATION
When I first saw the scene, I didn't really grasp that Garuda was planning to consume Titan and Ifrit - and I wondered why people kept saying that. "Surrender yourselves unto me, I would feast upon your aether!" sounded like the same general "to all present" threats she was making before. But, indeed, she is speaking directly to Titan and Ifrit, demanding that they submit to her as the one true god and grant her their strength to make her "invincible."