Do I break no contact?

My 10-month-long relationship ended abruptly when I learned she slept at another guy's house. I discovered it in Hollywood-esque fashion after seeing her car in the drive way of a man's house on my route to the gym. Admittedly, I crashed out. And regretfully, I went and knocked on the house's door and tried to get her to come out. No one answered, but she told me later that day that I terrified her. She said she would need time before she can talk about it, and it's been 4 weeks since we spoke.

We had already slowly began ending things, though neither of us really wanted to. I wouldn't fully commit to a long term relationship because I plan to move out of state, and she wanted long term. We knew it would end, but stayed with each other. We tried ending maybe 6 times prior, and it was always her who came back. Two days prior to seeing her at another man's house, she called me late at night, told me how much she missed me, and asked me to talk to her until she fell asleep. I miss her a lot, even though she hurt me. But I also hurt her. Although I apologized for knocking on the dude's door, I just feel so bad about it all and wish I could truly apologize. I wish I would have just committed fully.

Maybe this needs more time. I just feel terrible about it all.