N.M. Stat. § 59A-17-34
Hearings.
A. Any person aggrieved by any action, threatened action or failure to act of the
superintendent or otherwise under Chapter 59A, Article 17 NMSA 1978 shall have the
same right to a hearing before the superintendent with respect thereto as provided for in
general under Section 59A-4-15 NMSA 1978. Notice of hearing shall be given, the
hearing conducted, rights and powers exercised and the superintendent's order on
hearing made and given as provided as to hearings in general under the applicable
provisions of Chapter 59A, Article 4 NMSA 1978.
B. Any person aggrieved by the superintendent's order issued pursuant to this
section or by the superintendent's refusal to hold the hearing may appeal the order or
refusal to the court of appeals.