Is it possible, given time, to resume a relationship with my ex-girlfriend?

My girlfriend and i had been dating for five months. Though she was a little different than most girls, i loved that about her and it drew me to her even more. We had been casual friends for some time before we started dating. Everyone around us, her parents included, seemed to think we made a great couple. However, she was always busy, either with studying for school or helping her family work on the farm; though i was mostly understanding, it bothered me sometimes how days could go by without us really being able to have a good conversation. She and I had talked about it several times before, though usually we always ended back up at the same place. I never was angry at her though, and made sure that she understood that. However, after spending almost a week with no communication, i sent her a message (the only sure-fire way to get in touch with her) saying that i was tired of this always happening, and the cycle repeating over and over again, and could we please talk about it. She called me later that night and started yelling at me, saying that she had been busy with exams and farm work, and that she had never intentionally ignored me. I apologized, and she softened her tone. She said she was sorry, but it just didn't feel right, and that she felt we needed to split up. She said some line that she had read in a book about how I was a great prince, but not hers. (Bittersweet, really - it hurt to hear that, but reminded me of why i fell in love with her sweet,nerdy personality in the first place.) Not knowing what to say, i was pretty much shell-shocked into silence at that point. After asking if it was posssible we could just talk about it, she told me she didn't think we could, though she told me again that i was a great guy. She then told me that she should prob. let me go so i could get some sleep, then she hung up. That was almost two weeks ago. The only time i've talked to her since was at church after service a week and a half later. I stopped her on her way to her car to talk. I told her i was sorry again, and that although i didn't expect her to want to try again, i didn't want her to hate me for this. She said she didn't hate me, though she was still a little upset. We said our goodbyes and left on o.k. terms. I've been bothered almost constantly by all this since we broke up and I'm at a loss as to what to do. I'm not sure if i really should give up and move on, or play the field for a while, or sit down with her and get it all out. I honestly think i love her. What do i do?