This is neat!
I like Miracle a lot, because it plays in to the "Gods get power through worship" angle. Although I don't know if that's what you meant, and a clarifying line about what's happening fictionally might be good.
I'd probably condense Bestow Gift and Bless the Worthy, since they get at the same thing. It could also probably be written in a pithier fashion. Maybe:
When you have time and intimacy with a willing subject, you may bestow your divine favor on them. On a hit, they get the condition "Favored of your name," your choice of +1 to all moves directly related to a particular task or access to one of your God moves, and they give you their choice of something you want, 1 string, or 1 experience. On a weak hit, all that, and also pick one of: you lose access to the move you granted while they have it, you take -1 forward, you are drained, they gain 1 string on you. The gift is revoked when you wish, or when the gifted betrays you or your dogma.
Domain of Power is interesting. I'm not sure I'd have it be a required move, and maybe instead make Domain an appearance-style list ("chose one or more"), so that everyone has to choose to be a god of something,
and then make the move "Chose one basic move that's tied in to your domain, and explain why. Take +1 to that move."
I like how the various "Divine" moves encourage over-the-top-ness. I feel like Divine Shun could use both a better name and a better conveyance about what it means to be over-the-top when shutting someone down. Just because it's rolled with Cold doesn't mean it can't be dramatic. People watching should go "Wow, really?" Maybe an overly elaborate or cruel trick, ranting (quiet or loud), threats, vows.
I also like the backstory!