I clean alot of deer, so does my dad. He is a Doc and there can be concerns with the animal. He and I both have cleaned many deer without gloves and have been fine. It takes so long to clean the blood, fat and so on off of your hands you might at well wear them and save time on clean up.
Also, I've bleached many a skull and had good results personally. The meat/fat/fur just cooks right off. It stinks something awful so I do it on the burner on the grill or an outdoor fish fryer.