Writing as a gay man, I'd say gay men have it harder from society, gay women have it hard also, men are currently being chucked into concentration camps in Chechnya and imprisoned in Russia for loving the same sex. In a world also where most bullies are straight men with such masculinity issues, gay women are often fetishized for the pleasure of a man, and gay men are assaulted and insulted. So all in all it's hard for all LGBT members but the men get a lot more stick.