N.M. Stat. § 59A-12A-17
Compliance deadline.
An administrator that is operating before the effective date of this act shall apply for
a license under Chapter 59A, Article 11 NMSA 1978 not later than the sixtieth day after
the effective date of this act. An administrator who has made application as provided by
this section may continue to operate if it otherwise complies with applicable law, until
such time as the superintendent acts on its application. If denied a license, the third
party administrator may not act as a third party administrator but may appeal the
superintendent's determination as provided by Chapter 59A, Article 4 NMSA 1978.