stealth_nsk
Deity
You can see from the screenshots that each district has a certain number of slots for appropriate buildings. In the case of the Holy Site (or whatever it's called), you can see one with just a shrine, one with a shrine and a temple, and one with a shrine, temple, and pagoda.
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Will districts have limited space, requiring you to build a new district when the old one is full? Maybe. Or maybe some new buildings will replace old ones.
I believe it's more simple. We have 4 religious buildings and a district capable of holding them, that's all.
There could be some late-game districts with advanced building, but I believe there will be no optional buildings like pagodas/mosques/monasteries/cathedrals in Civ5.
Also, the last one could be not a pagoda, but culture-styled cathedral or monastery (some universal building).