The suspiciously tame rabbits don't actually have the sanity to run! They are tame enough to be picked up, and will even tolerate petting. This makes it pretty easy to kill them. They explode upon death. But the pieces can be cooked just fine. Campfires, as it turns out, are just fine at cooking rabbit. It's just the environment and her that it won't burn. If she wants to cook with it, it'll work just fine.