Meh...Boo, like you said, it's just a first date. If you like this girl, just tell her you went out and you weren't really feeling it. Ask HER out now that you know how she feels and see if it looks like something that might work out.
I don't think we know enough to say whether it's a compatibility thing, so I have to disagree with Bea and magz.
You know what she sounds like to me? She sounds like someone who thinks you're TRYING to make her jealous and she's just playing a role. Either that, or she just likes you as a friend (like, ACTUALLY likes you, not that so-called "friend zone" crap) and is just saying stuff like that to make you feel good. I dunno. If I were in your position, I'd take the bait and see what she says. If I try, and no matter what I do, I absolutely CANNOT get a date with her, I'd know she wasn't really serious to begin with.
You're not quite at a stage yet, IMO, that you want to get too serious, too fast, with ANYONE. You're gonna find as time passes that serious relationships are difficult to avoid, at which point you won't avoid them anymore.