Will my girlfriend lose respect for me after what happened?

My girlfriend and I have been dating for over two years and I feel on cloud nine whenever I am around her or think of her. On Friday we got into an argument that now seems really silly but really agitated her. She dumped me after a few hours of arguing on Friday night (I was just tired and crabby). I was so crushed that I didn’t sleep at all that night. On Saturday I went over to her apartment with a bouquet of flowers and wanted to apologize but her best friend answered and told me that now wasn’t the best time to talk her. So I left her alone all Sunday as I sulked in my apartment. Today my gf came over to my apartment to exchange possessions that were mine or hers. I invited her in and I tried to be strong and not lose it emotionally. But as soon as she came in I just looked at her and began to cry. I literally fell to my knees and sobbed about how she is best part of my life and I am a wreck without her and I was so stupid to ever let this happen where we would go separate ways. Well we were able to make up and after talking for a while we realized that the whole situation was silly. She seemed either touched or just surprised that I broke down like that because I have never shed a tear around her. Actually I haven’t let my emotions get me like that in years. I have always done everything to make her happy over the last two years and tried to be the best bf that I could be. I just feel like such a fool to let myself cry like a child over this when there could have been a better way of handling it. I guess the thought of letting her go just sucked the life out of me. I guess what I am asking is, will she lose respect for me as a partner in a relationship that I just broke down like that? Even though I am sensitive and loving I never broke down like this before.