how about call it whatever, like Holy Dude without a god, because it is just a game mechanic.  Ask your character what class he is and he should respond the same way we does when you ask him what his BAB is.  Unless you have a caste system...  My point is that the class name doesn't realy matter as long as you have something to call a character in game.  This may vary from region to region, by power-level, etc.  There may be slang terms for a priest like this, w/o a god.  Just a thought, but be sure that I am taking notes of the names listed here.
~hf