If you're human and you intentionally kill it you should eat it, and use whatever parts you can. Mountain men out in the American West trapped and killed beaver for fur -- and ate them, too. Muskrat is kinda well, stinky, eating but it's edible. I suppose I could eat fox, cat, dog, coyote, wolf, and so on if I had to. I've known several people who have eaten mountain lion and were glad to get the meat.

As I said, though: you kill it, you eat it.