Richard Lippa studies the connections between sexual orientation, gender, and personality. It’s a big study, with some obviously subjective categories. Money quote:
Gay men were somewhat higher than straight men on agreeableness, conscientiousness, neuroticism, openness, and expressiveness. Except for openness to experience, gay-straight male differences mirrored male-female differences—that is, traits that gay men scored higher on than straight men were also traits that women scored higher on than men, and vice versa. The really big gay-straight male difference was for M-F of interests. Gay men had much more feminine occupational and hobby preferences than heterosexual men did. To give you a sense of the magnitude of this difference, the effect size listed in Table 1 implies that 90% of gay men have interests that are more feminine than the average straight man’s.