Yes, that was exactly the kind of question that needed to pop up right as I was going to bed. :P
I hate to say no, especially since I didn't warn anyone about this specifically - though I suppose I could get away with saying that decisions about the divine order of things goes under sweeping setting changes - but gods were never really intended to be playable. In fact, they aren't even really supposed to be knowable.
What you could do, though, is just play a dog (or some dog-like magical beast of human intelligence if you'd rather. Winter wolves are pretty cool, pun intended), if that's what you're after. Just like sentient beings, a truly exceptional animal could grow far beyond its realistic strength and intelligence, given the right training, luck and life experiences. While it will probably never be a rocket scientist, it could become a very smart dog. It could certainly understand the logic of "master dead -> tear out offender's throat".
What concerns me the most about this character, though, is its lack of interaction with other characters. In fact, I think a super-dog would be better for that, with the whole pack mentality thing probably being better for that than what I assume is the enigmatic aloofness of a deity.
Now that I've delayed bedtime by a half-hour (worth it), I'm going to sleep. Will answer any further questions tomorrow.
Edit: Okay, I'll answer one more. Women are regarded differently in different cultures, and different cultures may exist within the same kingdom, as most peasants never travel beyond the next couple of villages in their lives. Women who can punch horses to death (i.e. player characters in this game) are universally regarded with fear, the intelligence required for effective magic use is rare enough that few wizard academies turn women away, and "god answers my prayers, look" is usually enough to get into any church, regardless of gender. If god chooses that exact moment not to answer your prayer, then clearly he intended for you to get booted out, and you can either slink back home or do a Joan of Arc.