She works at the community library. I've had her check out my books before. And I've [i]checked her out a couple times[/i] as she walked around the library.
Two days ago I grew the balls to actually say something to her. I asked if she had a record of my recent check outs so that I knew which issue of the walking dead I was on...She said no, then we chatted a little about that.
Then I asked her name, checked out my books, said bye, then left.
Today I went in again, and before I even had a chance to say hi, she said hi to me first.
Then when I checked out my books, we talked about the walking dead again.
TLDR:
Girl at library said hi to me first, does she like me? Should I ask her out?
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Dude, this is just sad. I have multple female friends and whenever I see one, we say hi and we hug. That's just what friends do, especially girls are much more physical. If she only said "hi" she's just being polite, but she obviously likes you (just like I can like a male friend). Friendship comes before love and you aren't even friends yet.