Sarah could tell she'd surprised him, even perhaps shocked him a little, which tipped the scale toward real Obi-Wan several notches in her mind, as someone taking on the role of that legendary Jedi Master wouldn't need to be surprised at the use of his character's name. He'd expect it and play to it if he was that invested. This reaction reminded her more of one she herself had given to a child who'd wanted her autograph – as Sarah Williams. She would have somewhat understood being mistaken for the celebrity who played her in the movie of her own life she'd still not watched, but the child had been adamant – especially when her coworker had called her Sarah in front of the child.
Personal experience, understanding and even hope in the fantastical were leading her to put more weight on her hypothesis, because she did want it to be that he was from that reality, rather than an actor. Even if it put a wrench in the works of what she'd heard about this shelter, she still wasn't about to walk out the door. She'd come to find something larger than herself, thinking that would be doing something for those less fortunate, and she'd found that something one way or the other.
"Yes, I do think you're pretty wonderful, for a couple of reasons," she said with a smile, toying with the rim of the mug, though not elaborating before she moved on. "And I don't think you're peculiar at all." she took a sip of the coffee without adding anything, looking at him over the rim of the mug. "Why would you think I do?"
They were currently in a city where the peculiar was so ever present that it was almost normal, if only for the frequency of it. And really, as far as peculiar went, he definitely wasn't it. The question also tested the waters as far as gathering information to see if her mental scale tipped any further in the direction of 'this is the real Obi-Wan'.