I do not know if the fix will work if the related building was already built.
I do know at least one building was missed (causes intellectual spam), I'll attach the file to fix it, which needs to replace the existing file in:
Documents\My Games\Sid Meier's Civilization 5\MODS\Community Call To Power v4.05 DLL Version (v 3)\CCTP\Buildings
The other thing, if you didn't download the mod recently, you may still have a file that needs deleted, look in:
Documents\My Games\Sid Meier's Civilization 5\MODS\Community Call To Power v4.05 DLL Version (v 3)\CCTP\Faith Specialist
and if there is a file called FaithSpecialistBuildings.sql then delete it. this is a redundant file that will also cause spam.
If you don't have that file, then either you do need to start new game for fix to work, or another building was missed. If you let me know what era you're in. I'll double check.