I want to show her off but she doesn't like the idea.

A foreign gf of mine hates being showed off publicly. She seems uncomfortable with it. I love her so much that I want to show that to the whole world but she doesn't like it. Even just a simple gesture of sweetness in public, I am forbidden to do so. What am I gonna do? I can't help but think she's ashamed of me, more so she's cheating. I can't help but think her feelings for me is too shallow to be called love.