She might be out of my league, should i still try, HELP?

I met a girl at the bar this past Friday night. She was about to leave and go home but somehow i got her to stay close to an hour longer and we hung out and talked. I think our conversation was great, i made her laugh we talked about the things we had in common, and i even asked her about her DHA's (as a joke, but she actually answered. dha=dreams, hopes, aspirations). it did help we were drunk so the conversation was easier. i did notice how pretty she was and complimented her on it. when i asked her why a pretty girl was talking to me she replied by saying im nice and im cute. the only thing is i truly feel that she is out of my league. How do i stand a chance with her when she probably gets hit on by so many guys (better looking then me). anyway i got her number, and we even made out. i called her yesterday but she was sick, so she couldnt talk. i told her i could call her today, and she said ok but she has to work and if she doesnt answer to definitely leave a message. i told her i would call her at night and she said ok. i really want a chance with this girl, and to ask her out, but im nervous. not usually like this, but should i still go for it?