Cordelia studied him for a second, taking note of his clothes, his body language, basically everything she could. His answer, although extremely vague, told her that he likely wasn't a client with a demon problem and he wasn't one of the few who seemed to think this was an actual hotel that rented out rooms and all that other crap. Which meant he was probably one of the new arrivals to L.A. and was looking for answers.
Not wanting to assume too quickly, though, the Seer simply replied, "Well, I'm Cordelia Chase and this is the Hyperion Hotel... headquarters of Angel Investigations. I'm guessing you knew that much, at least, except my name of course, or you probably wouldn't be standing here." As she spoke, she moved across the lobby to the large cabinet full of various weapons and placed the sword inside.
Closing it softly, she drew in a breath and turned to face him once more. "Why don't we start with your name," she suggested mildly, "and then where you're from, so we can figure out just how, uh, lost you really are." She motioned to the couch just off to the side for him to have a seat.
"Do you want something to drink? We have water, and a few sodas. I'd offer some coffee but trust me, you don't want to drink it."