N.M. Stat. § 70-2-25
Rehearings; appeals.
A. Within twenty days after entry of an order or decision of the commission, a party
of record adversely affected may file with the commission an application for rehearing in
respect of any matter determined by the order or decision, setting forth the respect in
which the order or decision is believed to be erroneous. The commission shall grant or
refuse the application in whole or in part within ten days after the application is filed, and
failure to act on the application within that period shall be deemed a refusal and final
disposition of that application. In the event the rehearing is granted, the commission
may enter a new order or decision after rehearing as may be required under the
circumstances.
B. A party of record to the rehearing proceeding dissatisfied with the disposition of
the application for rehearing may appeal to the district court pursuant to the provisions
of Section 39-3-1.1 NMSA 1978.