N.M. Admin. Code § 18.19.3.63
Any person whose selected set for a prestige plate is found by the division to be derogatory or obscene or a false representation of governmental authority may appeal that finding to the director within thirty days of the day on which the person is notified of the finding. The applicant may present arguments and evidence that the set is not derogatory or obscene or a false representation of governmental authority. The director, in his discretion, may hold a hearing on the matter and may delegate conduct of the hearing. in any such hearing, the technical rules of evidence shall not apply but, in ruling on the admissibility of evidence, the officer conducting the hearing may require reasonable substantiation of statements or records, the accuracy or truth of which is in reasonable doubt. The rules of civil procedure for the district courts shall not apply but the hearing shall be conducted so that both complaints and defenses are amply and fairly presented. Based upon the arguments and evidence presented, the director will decide whether the set is derogatory, obscene or a false representation of governmental authority; the decision is final. Only if the director finds the set to be not derogatory, obscene or a false representation of governmental authority will the prestige plate with that set be established and issued.
N.M. Admin. Code § 18.19.3.63