The Law
As Scoutin Wyo pointed out, there are both some common sense as well as legal issues at work, but all that being said, sure hope you find the critter alive and healthy. Sh*t happens, and I'm not going to konk you over the head when you know these facts as well. Hoping the best for you, and thanks to Happy Jack for putting a positive, helpful spin on this.
For those who care, here's some of the Wyoming statute info... (note, citizens are not specified in the game animal defense, must be a peace officer, so don't get trigger happy). Let's all try to be friends with common sense, what say?
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Wyoming Statutes
23-3-109. Use of dogs; dogs injuring big or trophy game animals may be killed; citation of owners of dogs harassing game animals; penalties.
(a) No person shall use any dog to hunt, run or harass any big or trophy game animal, protected animal or furbearing animal except as otherwise provided by this act. The commission shall regulate the use of dogs to take mountain lions and bobcats during hunting or trapping seasons.
(b) In cases where big game animals have been injured or are being threatened with immediate injury by dogs, a peace officer may kill such dog or dogs where the vicious character of the dog or dogs is manifest. A peace officer killing a dog pursuant to this subsection shall make reasonable efforts to ascertain the ownership of the dog and inform the owner of the dog's death and the circumstances surrounding the death. Any peace officer who kills a dog pursuant to this subsection or has received a report that a dog has been killed shall file a report with his employing agency within twenty-four (24) hours of his action or of receiving a report.
(c) It is unlawful for any person to recklessly allow or direct a dog which he owns or is under his control to injure or threaten a big game animal with injury, whether or not the big game animal is actually injured by the dog, unless the dog was attempting to protect livestock or other property. A conviction under this subsection is punishable by a fine imposed for a low misdemeanor punishable as provided in W.S. 23-6-202(a)(v).
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Wyoming Statutes
11-31-107. Running livestock; when killing authorized; liability to owner; exception.
Dogs running livestock against the wish of the owner of the livestock may be killed at once in cases where the livestock has been injured or is threatened with injury. The person killing any dog running livestock is not liable to the owner where the vicious character of the dog or the damage or danger of damage is shown. When livestock is trespassing upon property the property owner may use dogs to drive and keep off livestock from the property.
11-31-108. Running livestock; penalty for permitting.
Any person who permits or directs any dog owned by him or in his possession or in the possession of his employee to chase or run any cattle or other livestock of which he is not the owner and of which he is not in control, farther than one hundred (100) yards from his land, upon government lands, or away from any watering place upon the open range, shall be fined not less than fifty dollars ($50.00) or more than seven hundred fifty dollars ($750.00), or imprisoned not more than six (6) months, or both.
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