Wyo. Stat. § 35-6-130
No person shall, in any way, be required to perform or participate in any abortion or in any act or thing which accomplishes or performs or assists in accomplishing or performing a human miscarriage, euthanasia or any other death of a human fetus or human embryo. The refusal of any person to do so is not a basis for civil liability to any person. No hospital, governing board or any other person, firm, association or group shall terminate the employment of, alter the position of, prevent or impair the practice or occupation of, or impose any other sanction or otherwise discriminate against any person who refuses to perform or participate in any abortion or in any act or thing which accomplishes, performs or assists in accomplishing or performing a human miscarriage, euthanasia or any other death of a human fetus or embryo.
W.S. 35-6-130