How does religion work in SU's worldbuilding?

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>it's been long assumed that religion did not exist in the show before Patricia's appearance
>Matt Burnett has also claimed that Christianity does not exist in the show's world (he has deleted all his SU tweets years ago however)
>Islam itself has built off of Christianity with its various mentions of Jesus and other biblical figures, showing that various biblical elements were essential in Islam's existence to begin with
>and as for the elephant in the room, Islam forbids homosexuality, so what place would such a religion have in a world now inhabited by space lesbians?

We all know that the Crewniverse made a Muslim character simply for diversity points, and while that's a different discussion by itself, I just want to discuss how this effects the actual worldbuilding of the show.

Was she thrown in thoughtlessly and ended up breaking the worldbuilding as a result, or was there some degree of thought here before her inclusion?