It sounds to me like your daughter does not like to be controlled. She will be a leader. Strong personality.
I would suggest to do some reading about how to connect with a child like this. She thinks everything should go her way or something like this.

I have still not found a better book for communication with children than, Raising Our Children, Raising Ourselves. It not only shows you how to understand the reasons behind behaviors and how to cure the cause, but helps you deal with the part of yourself that prevents you from being kind in tough time.