How to tame a Mexican girlfriend?

My girlfriend is a Mexican and she is so rebellious. Her jealousy is at the nth level. One time, she saw me at a coffee shop with a friend I met on a foreign socials. We just saw each other there. I just dropped off to buy a coffee while I'm on my way home. Little did I know, my girlfriend was at the same coffee shop with her friends. While I was talking to this not-so-close friend of mine, my girlfriend suddenly appeared behind me and started talking nonsense. We were actually doing nothing but my girlfriend thought I cheated on her. She had done this many times. I felt ashamed with my friend and the people inside the coffee shop. I really don't know what to do with her. I love her but she's quite nagger. How should I tame her?