The Meaning of the Name Maayan

With Hashem's help, hello. 

My name is Mai and I am 16 years old. I received my name as a gift from my parents, and it means a gift from the God of Israel - an acronym. When I was a little girl, I was often sick and quite difficult. My parents were told that my name should be changed, but they refused to hear of it. Now that I have grown up and understood that my name is not Hebrew, I would like to add another Hebrew name (I was thinking of the name Mor). I approached my parents and they refused to hear of it. They say that fortune can change for the better and also for the worse. I feel that I am not obligated to change, but at the same time I am also afraid. 

Thank you in advance