N.M. Stat. § 53-19-67
Appeal from commission [secretary of state].
If the commission [secretary of state] fails to approve any articles of organization,
articles of amendment, articles of merger or consolidation or articles of dissolution or
any other document required or permitted by the Limited Liability Company Act to be
approved by the commission [secretary of state] before it is filed in its office, it shall,
within fifteen working days after the delivery thereof to it, give written notice of its
disapproval to the person delivering the same, specifying the reasons therefor. From the
disapproval, the person may appeal to the district court pursuant to the provisions of
Section 39-3-1.1 NMSA 1978.