I think it's really cool that you're taking karate. I also think it's really cool that your friend is enlightened enough to be a fan of The Gay Pride page. Still, her sexual preference isn't totally revealed by that membership. Gay Pride doesn't discriminate, all are welcome.
You may or may not be right, who knows?
P.S. I'm a member of the Button Gwinnett page but that doesn't make me a button!