Shooting an animal is not “cruelty” under the law in any jurisdiction that I know of. Even a case where he only wounded one by accident still wouldn’t qualify I wouldn’t think.
Then you don’t know much law. Many states (e.g., Georgia) prohibit shooting a dog, for example, unless there is imminent threat of physical harm to your person or property or that of another. On the other hand, in Michigan you can get a bounty for killing a starling (3 cents) or a crow (10 cents).