I am a HUGE Dodgers fan (yes I know they stink right now) & I have a pink baseball cap. Actually, it's white with the L.A. logo in pink. My fiance bought it for me b/c he thought I would look cute in it. Most of the time though, you'll find women wearing them that know next to nothing about baseball.
I love to wear it with my Dodgers Jersey that says "Player To Be Named Later" on the back.