048-12 Wyo. Code R. § 12-10
If the hospital furnishes anesthesia services, they shall be provided under the direction of a qualified doctor of medicine or osteopathy.
(a) Policies and procedures for the administration of all anesthetics shall be in place. In hospitals where there is no department of anesthesia, the department of surgery and/or medical staff shall assume the responsibility for establishing general policies and supervising the administration of anesthetics.
(b) When anesthetics are not administered by an anesthesiologist, they shall be administered by a registered nurse anesthetist under the supervision of the operating physician. The hospital medical staff shall designate those persons qualified to administer anesthetics and shall delineate what a person is qualified to do.
048-12 Wyo. Code R. § 12-10