Rey's about to agree that it had already given her access to an actual Jedi Master, but Obi-Wan was still resisting that title. However, it reminds her of the revelation that had been lingering unremarked upon for some time now. It's enough to shift her gaze from her book over to him at last.

"I didn't know you were named for Obi-Wan Kenobi."

Leia had never mentioned it back home, and the official version of events recorded in the texts themselves never mentioned the name that Master Kenobi had assumed in hiding. She'd found out from Luke by sheer accident.