A hair straightener, or flat iron. But only when it is used or owned by one of the male gender.
a gay stick has nothing to do with male private parts, or female parts for that matter. It doesn't neccesarily mean that the user of the gay stick is actually gay
i'm not entirely sure, but i guess it most likely means a gay man's penis, or possibly a dildo. presumably it could mean any sort of stick which goes into someone of a gay sexuality? I don't really know.