<human>: Can you provide a brief rundown of the text in within 3 sentences?

Going to do this as short as possible. Recently find myself single and sign up to a dating site. After awhile I eventually find a local girl who seems really cool. we message a bit and trade numbers. 

Now through texts I've tried to talk and get to know her but she takes forever to respond. Consistently, so it's not like a fluke thing. Anyway I'm trying to get to know her, but she doesn't seem to be doing the same. I know she has some family stuff going on and whatnot, but this is pretty consistent behavior daily. I always assume the worst and think that she was polite and texted me and is going to try to wind it down and I'll stop talking to her. or possibly she really just does have a different texting habit than most people.

she seems really nice, but hasn't attempted to get to know me. part of me wants to wait it out and see, and part of me wants to just come out and say something along the lines of "if you don't want to talk it's cool, I can leave you alone" but with more detail to how I got to that. I've been advised against doing that. but if I don't shoot her some texts then I don't think there would be communication at all.

last relationship was different/long dist so I'm not familiar with this whole getting to know someone local from scratch thing so it's a lot of guesswork. We are supposed to be getting lunch but I told her whenever she's available since the whole family stuff and all, but that was about a week ago.

care to shed any thoughts/clarifications for me? Would be appriciated.
its probably mostly paranoia but just want some ideas. Thanks
<bot>: met a girl on dating site, seemed really cool. After trading numbers she seems to have distanced. Haven't met in person yet. Need some points of view.