She shakes her head at the first question. It's a first to hear about a version of herself that goes by a different name. She wonders if this is what most Rens/Akiras feel in this place.

The fact that he seems to be dodging her question does make her frown. She can't tell if he doesn't trust her, or if he has some other reason to be cagey. At least she doesn't feel like she's in danger.

"Hmm... do you have a preference in which name to be called?"

If he doesn't pick one, she'll use Ren to make it easier on herself.