Wyo. Stat. Ann. § 1-38-104
(a) In appointing the wrongful death representative, the court shall determine the person who will best represent the interests of the potential beneficiaries of the action as a whole.
(b) In determining whether the best interests of potential beneficiaries as a whole will be served by appointment of the wrongful death representative, the court shall consider:
(i) The familial or other relationship of the person making application to the decedent;
(ii) The interests of the person making application in relation to the interests of other potential beneficiaries as a whole;
(iii) Actions taken to secure appointment as the wrongful death representative and to protect the interests of all potential beneficiaries;
(iv) Such other factors as the court deems relevant.
(c) No appeal shall be allowed from an order appointing the wrongful death representative. The court, however, may entertain a motion to reconsider an appointment of the wrongful death representative.