I pushed my girlfriend away from me and hurt her so bad she can't ever see us getting back together. Will time possibly give me a chance?

Anonymous
So I have dated this girl for 9 months. I was graduating and she wasn't and I was going to go off about 2 hours away for college. The start of our relationship was unlike any other. I have dated a lot of girls but none made me feel this way (she wasn't even my longest relationship) I knew I cared for her a lot but people kept telling me it wouldn't work in college so I believed them. I pushed her away farther and farther and she got closer to another guy. A good friend of hers. Eventually I noticed she seemed to be closer with him that me and would spend more time and when if all of us hung out together I felt kind of ignored. A little while before we broke up though I started to realize I didn't want things to end. I told her I loved her (the first time I ever told any girl that) and she said she loved me too (she had previously said it but I wasn't ready) we said it even when we broke up because I was jealous of how close she was with her friend. After we broke up I knew how much I wanted her back and begged a little. It didn't help so I took some days to do some thinking and when I thought I had my head on straight (it was only a week but I grew a lot and still am) I told her how I felt. I told her I never wanted to give up again and wanted to fight for her (and still do). She said the guy wasn't the reason we broke up but just because she can't trust me and we won't get back together. I stopped talking to her and am giving her time. I have done a lot of thinking in all the time I had. I am working on myself, I am learning to be a better person, and I am trying to move on. I just know that I love this girl and want a second chance to prove to her I can be the guy she deserves. I know contacting her now will do nothing but if I give more time will she possibly change her mind? Would appreciate any thoughts.
I pushed my girlfriend away from me and hurt her so bad she can't ever see us getting back together. Will time possibly give me a chance?
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