<human>: Can you summarize the given text in a few sentences?

We have known each other for about 2 years and dated for one year, three months in the same area and nine months in a LDR. So we were in a LDR and it did not work, we both love each other still but knew if we stayed in a relationship much longer we would end up hating each other. We still talk and she told me she was annoyed that we do not talk much anymore. I tried telling her it was because she pushes me away but she said I was imagining things in my head. For example i said "I hit my head on the door at work today." Her response was "...?" messages like that make me not want to talk to her. If it were a one time thing i would be over reacting, but it happens three or four times a day. I brought this up to her attention and she said i was being ridiculous. I did not even say the reason we have not talked much is because everytime i send a message it takes her 45 mins to an hour to respond and by the time we send ten messages i have to go to work and i cannot be on my phone at work. When i get off it is about 2AM her time and she is asleep. I obviously do not know how to say it without her feeling "attacked" so how should i go about this?
<bot>: We talk everyday and she replies with short answers a lot. How do i tell her we do not talk much because she pushes me away without attacking her?