Gay friendly religion
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any religion is gay friendly at the very begining? or not caring at all
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Raelism is explicitly LGBT friendly.
Japanese Shinto doesn't pay attention.
Voodoo is surprisingly tolerant, in theory, but in practice it depends on region and political situation.
Taoism aspires to peacefully transcend sexuality, and thus does not condemn gays. Priests are expected to marry women, but you don't have to be a priest.
Buddhists sometimes claim to be ones, but they are lying - dharmic religions are homophobic at their core, just like abrahamic ones (they have shared notes several millenia ago). At best they're just like modern tolerant christians.
Confucianism allows you to bang anyone as long as you make 1-2 babies (total, not per partner), but it's sort of out of fashion today.Some neo-pagan/Wiccan circles are supposed to be this, but they're mostly laughingstock and bunch of posers.
Pastafarians and Unicornists are definitely this, but, well…