Oh, right. Frodo was so far gone from the shard of the Morgul blade in his shoulder that he saw Glorfindel as a bright light even without the ring. He was very close to the brink of becoming a wraith, his vision was blurring in that direction.

Oh, right. Frodo was so far gone from the shard of the Morgul blade in his shoulder that he saw Glorfindel as a bright light even without the ring. He was very close to the brink of becoming a wraith, his vision was blurring in that direction.
Frodo observes she's wearing a ring:
'Yes' she said, divining his thought, 'it is not permitted to speak of it, and Elrond could not do so. But it cannot be hidden from the Ring-bearer, and one who has seen the Eye...'