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She needs some time and space and in the meantime, you need to work on these issues within yourself...it is not just enough to say you have seen the error of your ways...you must do the work to understand why things feel as they do for you and cause you to act in these ways. I would suggest that you get into some counseling so that you can feel more secure within yourself and not play out those insecurities within any relationship. If she sees you are working on things then maybe she will feel okay about coming back. Leave her be and give her this time and space.
That is wonderful to hear. Keep working hard and the changes will come.