Does She Love Me The Same As I Love Her?

I love my girlfriend to the moon and back, I go out of my way to insure she is happy. I try so hard but she always gets jealous and thinks I am talking to other girls. Tonight she got mad at me and told me ” I don’t really wanna be around you that much” is this something your girlfriend should say to you if she loves you? She always gets mad and then leaves or tells me it’s over when I treat her like a angel. I have never done nothing that was out of the way to hurt her