I don't get why Deer is always associated with gentleness. You don't want to fuck with a deer. Especially a buck at rutting season. And if you're taking "Deer" in a broader sense to mean the entire family, just consider the red deer, the elk, and the moose. Antlers are wicked weapons, and all deer have sharp hooves.
Lots of animals are gentle with their young. Lots of tame or domestic animals can learn to be gentle with humans. But I'm not sure there's any wild animal that's so gentle that it wouldn't bite, kick, or sting the crap out of you if you threatened hir.