TITLE 6. Crimes and Offenses
CHAPTER 3. Offenses Against Property
ARTICLE 2. Property Destruction and Defacement
6-3-203 Cruelty to animals; penalties; limitation on manner of destruction.
(a) A person commits cruelty to animals if he knowingly and with intent to cause death, injury or undue suffering:
(i) Overrides, drives when overloaded, tortures or torments an animal or deprives an animal of necessary sustenance; or
(ii) Unnecessarily or cruelly beats, injures, mutilates or kills an animal; or
(iii) Carries an animal in a manner that poses undue risk of injury or
From the Wyoming ORV Law Handbook
It is unlawful to molest, stir up, rally or drive in any manner, any game animals or game birds with a motorized vehicle.
If you want to argue that the coyote is not a game animal, fine, I'll turn your unethical arse in as cruelty to animals.