I’ve never met a gay organist or a gay monk, and I know a few hundred of each. Gay interior designers, fashion designers, flight attendants and even a minority pilots, sure.
Actually in the Orthodox Church it is forbidden by an ancient canon for anyone to become a monk “because they abhor womankind,” which is an old fashioned way of conveying the concept of homosexuality. Additionally, it has been forbidden since the late fourth century for boys to live in Orthodox monasteries, whereas it took much longer for this to be adopted in the West with regards to oblates, but adopted it was.