[As the self-appointed sheriff of a rather peaceful place, he doesn't have that much to do - he usually gathers info on the world if he can, tries to make sure no big fights happen between those here, and he wanders near the Welcome Center and other places, to look out for new arrivals and help them if he can.]
[Which means that if she's nearby, she might notice him wandering around, looking serious and giving off 'responsible adult' vibes.]