What should I do? Wait for this girl or move on?

There is this one girl that I have very very strong feelings for. We are very close and best friends but we also met online and are long distance. I have known her for a lil over a year and we have dated about 4-5 times. But each time we date, we date for a couple weeks than she always tells me she is loosing feelings and we break up. But yet she keeps coming back to me. Just currently we were dating and we lasted our longest ever like 2 months. And she had told me I was so perfect for her and that she had really strong feelings for me and that she loved me. So I went to go vist her for a weekend but I was extremely nervous like I couldnt act my true self around her. But it seemed everything went good, we got along, cuddled, kissed, even had sex(couple times), and after I had gotten back home she had told me her feelings were sooo much stronger for me. But than a couple days later she ended up breaking up with me because she said I wasnt her type? But I explained to her I wasnt acting myself because I was really nervous being around her because I get nervous around new faces, I didnt know exactly how to act so I really believe she got the wrong idea of me. I have asked her if there is still another chance for us to be together ever again and she said maybe. Because I really wanna go back someday and show her the real me. so do I wait for her? Because she has came back to me before. Or should I try to let go of my feelings. Because at the moment they are soo incredibly strong and deep down I feel she is the most perfect girl ever for me, like I couldnt even dream of someone more perfect. So what do I do?