N.M. Stat. § 59A-16-27
Desist orders for prohibited practices.
A. If the superintendent has cause to believe that any unfair method of competition
or act or practice defined or prohibited in Chapter 59A, Article 16 NMSA 1978 is being
engaged in by any person, he shall order such person to cease and desist therefrom.
The superintendent shall deliver such order to such person directly or by certified mail. If
the person fails to comply therewith within twenty days after receipt of the cease and
desist order, and does not make written request for a hearing thereon within such
twenty days, he shall be subject to the penalties referred to in Section 59A-16-29 NMSA
1978, for each violation committed theretofore or thereafter. In any event, if the person
does not make a written request for hearing thereon within such twenty days the order
shall be final and not subject to review or appeal.
B. If a hearing is so requested, the superintendent shall hold a hearing, and proceed
as provided under Chapter 59A, Article 4 NMSA 1978 as to hearings in general.
C. If after such a hearing the violation is confirmed by final order of the
superintendent, the violator shall be subject to the penalty referred to in Subsection A of
this section, together with payment of the costs of the hearing as determined by the
superintendent.
D. If the alleged violator fails to comply with the superintendent's order after
expiration of the twenty-day period to request a hearing referred to in Subsection A of
this section or after hearing referred to in Subsection C of this section, the
superintendent may cause an action for injunction to be filed in the district court of the
county in which the violation occurred.
E. No order of the superintendent pursuant to this section or order of court to
enforce it, shall in any way relieve or absolve any person affected by such order from
any other liability, penalty or forfeiture applicable under law.
F. Nothing in this section shall be construed as relieving any violator from penalties
prescribed in Section 59A-16-29 NMSA 1978 whether or not such a cease and desist
order is issued or other action hereunder taken by the superintendent.