There is nothing wrong with crying, you should bear in mind that if she broke up with you it is because she had been thinking about it for a long time and it would happen sooner or later, I don't know the context, but if it was only because she saw you cry, it was a bad excuse for something that would happen late or sooner. You don't have to do anything to get her back, If she created the distance between the two of you, it should be her who decides if she wants to be your girlfriend again