Should i Try or should i let go.......

I met this girl in the beginning of the year. At first we both thought it would have been a fling after trying for several months for her to say yes to being my girlfriend she said yes after being rejected more than a few times. She began to sleep over all the time. We spent day and night together for over 7 months. She was there for all my rough time and triumphs. We stopped seeing each other for over 3 weeks because i was undecided if i wanted to stay in town or not but i never made up my mind. we barely talked for those 3 weeks but when she told me she was sad and didn't know what to do and how to feel.... she told me she loved me and was worried i was gonna leave her for good... i reassured her that when my life gets back on track i would come back and get our own place together.....3 days later it was our 6 months anniversary.... 1 day after our anniversary she broke up with me... reason she had no more feelings for me. She threw me a huge curveball confused the shit out of me. I thought she was gonna stick by me till the end but this happened. a few days goes by she told me she was seeing a new guy who was there for her when i wasn't. I been trying to ask her if there was anything i could do to help amend our relationship but she said no. But I'm still confused to shit... reason.... the day she told me it was over i came by to see her to see if we could patch things up she ending up having sex with me on her bed. Now what confuses me more is that that sex was probably the most passionate we had in a long ass time and that 2 days after breaking up i went to go chill with her she asked me to respect her and not try to be all over her and i did exactly what she asked of me... but when she went to hug me she looked at me with passion in her eyes.... still confuses me
my question is do i let go and hope that she will come back or do i let her do her thing and just let it go...........