In my opinion, you're original email seemed a bit angry and it sounds to me like you wanted to start some R talk. Her response to you was that she was busy right now and that she would like to have supper with you. She did a good job of deflecting your anger and accepting your invitation. And, she probably was very busy. I think her response to you was very good.
In addition, she wants your attention and affection. I think you're sabotaging yourself by pushing away.
