Hi! I've recently moved to a new apartment where I'll stay for 2 months before I move to another city. I'm student. I've met this gorgeous girl, that lives in my corridor right next to me. I had a small chit chat with her sometimes and I found out, that she was really smart, funny and very cute. I decided to hit on her in a very suttle way and after 2 weeks it worked. Yesterday she wanted to have a drink with her at her place and I agreed. She seemed to play kind of a push-pull game on me, so that I was confused and didn't know what she wanted. She laid down on her bed and I did so as well, we talked a little and then I kissed her. We made out in like 30 minutes, but when I wanted to move further she said, that it was wrong, so I stopped and I began to play push-pull on her. I could sense , she wanted it but she said no every time I tried to do something more, then just kissing. She told me, that she knows me for 3 weeks and after a month I'll move to another city( change university). She's a very cute girl, that i don't want to hurt, but I want something more(relationship?) and I don't mind long distance relationship. After last night we were back to normal, with the exeption, that she's more glad to see me, than before. How can I make this work?

She wanted it she just probably didn't want to be another conquest on your headboard. Sex is serious for women and generally they don't like to be used. What I would have done is once she said "No." I would have stopped all together and not tried anything again for at least the remainder of the night and said something along the lines of "I get it/I understand your concern/why do you feel that way? (you get the point)" Show her that you respect her (especially since you possibly want a relationship?) Then I would have asked her if she wanted to go do something all the while still keeping the same flirting demeanor that you had done before.
In terms of getting a LDR to work that will be tricky not impossible. Most people go into LDR with people they have already been dating/married to for a while. First really really think if that would be something you want. If it is great! Spend more time with her and do activities a boyfriend would do, (go out to dinner just the two of you. Try and connect on a deeper level. etc.) Next bring up the subject of a LDR with her and be honest. Something along the lines of "I think you're special and I really like you alot. How do you feel about LDR, How could I make this less stressful if we were to do this? <<< (if she said yes to liking the idea of a LDR) (If she said no then don't try it because her heart wont be in it.)

You seem like a decent and admiral guy. I'm pulling for you. Best wishes,

-KingLeonidas