Do you think she will accept my apology?

I had a falling out with a female friend. She believed that I had interest in her beyond that of a friend and I was just acting like a friend to get closer to her, eventhough I consistently denied it. I don't have interest in her in anything more than friend and I felt insulted that she would not trust me and believe that I was not acting with pretense. I stopped talking to her and distanced myself completely from her. However, I had one of those nights last night where I felt guilty for reacting so harshly and I do miss the friendship. So I sent her an e-mail apologizing for the way I had been reacting recently. I explained that I distanced myself because I felt hurt and insulted that she had not trusted me in the past. I apologized for expecting her trust unconditionally and not earning it. I also emphasized that I did not have interest in her as anything more than a friend and that I hoped things could be just as they were before. So what do you think?