I've talked to my T about seeing her in public (she brought it up) and I'm quite sure I'd be happy to bump into her and would go up and say hi. She had mentioned how if that ever happened (not likely), I would need to make the first move. I have heard some people say they are uncomfortable about seeing T even outside the therapy room (say in the hallway or something). That doesn't bother me, has happened several times, and have run into her in the parking lot too, and talked briefly.