I can confirm having coached women's football (soccer) that the majority of players are lesbians. In the UK there is a league for - but not exclusively for - gay men which began at a time when it could be difficult to be of that persuasion in the environment of the men's game. Most of the participants were football lovers first (the league began as a supporter's association) and gay second. Such a league for women would be like a vegetarian greengrocer - a touch superfluous.