Public Displays of Affection?

How is it some people dont like PDA? (Public Displays of Effection) I've been dating a lady for over a year. And she does NOT like to hold hands, gentle kisses, caress of the waist or playfully rub on each other when we go out. I got no problem with it. She thinks it's " showing off'. Should I break up with her in search of a woman who does? Or give her more time?