Wyo. Stat. Ann. § 9-14-701
(a) The state and its political subdivisions shall not compel or require an employee to refer to another employee using that employee's preferred pronouns:
(i) As a condition of continuing or commencing employment or contracting with the state or a political subdivision;
(ii) As a condition of receiving a grant, loan, permit, contract, license or other benefit afforded by the state or a political subdivision; or
(iii) Under threat of adverse action by the state or a political subdivision, including but not limited to an adverse employment action, exclusion, sanction or punishment.
(b) Any person aggrieved by a violation of subsection (a) of this section may file a civil action in any court of competent jurisdiction against the state or any political subdivision, and its employees acting in their official capacities, responsible for the violation to seek injunctive or declaratory relief.