N.M. Stat. § 45-5-204
Court appointment of guardian of minor; conditions for
appointment.
A. The court may appoint a guardian for an unmarried minor if all parental rights of
custody have been terminated or suspended by circumstances or prior court order.
B. A guardian, appointed as provided in Section 45-5-202 NMSA 1978, whose
appointment has not been prevented or terminated under Section 45-5-203 NMSA
1978, has priority over any guardian who may be appointed by the court, but the court
may proceed with another appointment upon a finding that the parental nominee has
failed to accept the appointment within thirty days after notice of the guardianship
proceeding.
C. If necessary, and upon appropriate petition or application, the court may appoint
a temporary guardian, who shall have the full authority of a general guardian of a minor,
but the authority of a temporary guardian may not last longer than six months. The
appointment of a temporary guardian for a minor may occur even though the conditions
described in Subsection A of this section have not been established.