<human>: Summarize the given text in a few sentences.

I recently moved away to university and I met a girl during a social gathering for students of my course. When I saw her, I was instantly attracted to her and so I went over to talk to her. 
Long story short, we hit it off insanely well, and we quickly became really close friends. We'd hang out at bars, or go for coffee, or walk to lectures together. 
Last night, we decided to go out clubbing and we got pretty drunk. In my drunkness, I tried to kiss her, but she gently pushed me away. I thought that she wasn't in to me, and I apologised to her, and said it wouldnt happen again. But then on the way home, she was all over me, holding my hand and hugging into me. 
Needless to say, I was getting some major mixed signals. Anyway, she invited me out to a bar tonight to talk, and she basically told me that she actually did have feelings for me, but that she had never been in a real relationship before, and she didn't want things to move too fast. Then she kind of clammed up, and left in a bit of a rush.
I really like this girl, and I don't want to make her feel uncomfortable, because she's pretty clearly a very shy person. I guess what I'm asking is, how do I try to move this relationship along without scaring her away?
<bot>: A girl I met at new university told me that she liked me. I like her back, but she's painfully shy and doesn't want to rush into anything. How do I carry on without hurting her?