N.M. Stat. § 59A-17-35
Appeals from superintendent.
Any order made by the superintendent pursuant to Section 59A-17-34 NMSA 1978,
or by the superintendent's refusal to hold a hearing, shall be subject to review by appeal
to the court of appeals. The decision of the superintendent shall be set aside only if it is
shown that the decision is arbitrary or capricious or reflects an abuse of discretion; is
not supported by substantial evidence; or is otherwise not in accordance with the law.
Upon institution of the appeal and for good cause shown upon motion and hearing, the
court may, in the following cases, stay operation of the superintendent's order:
A. where, pursuant to the Insurance Rate Regulation Law, an advisory organization
has been refused a license or an insurer has been refused a certificate of authority or
had its license or certificate of authority suspended, it may, with leave of court, be
allowed to continue to engage in business, subject to the provisions of the Insurance
Rate Regulation Law, pending final disposition of its application for review; or
B. where any order of the superintendent shall provide for a change in a rate or
rating system that results in an increase or decrease in rates, an insurer affected may,
with leave of court pending final disposition of the proceedings in the court of appeals,
continue to charge rates that existed prior to the order, on condition that the difference
in the rates be deposited in a special escrow or trust account with a reputable financial
institution by the insurer affected, to be held in trust by the insurer and to be retained by
the insurer or paid to the holders of policies issued after the order of the court, as the
court may determine.