N.M. Stat. § 59A-17-23
A member of or subscriber to an advisory organization may appeal to the superintendent from the action or decision of the advisory organization in approving or rejecting a proposed change in or addition to the filings of the advisory organization and the superintendent shall, after a hearing, issue an order approving the action or decision of the advisory organization or directing it to give further consideration to the proposal; or, if the appeal is from the action or decision of the advisory organization in rejecting a proposed addition to its filings, the superintendent may, in the event the superintendent finds that the action or decision was unreasonable, issue an order directing the advisory organization to make an addition to its filings, on behalf of its members and subscribers, in a manner consistent with the superintendent's findings, within a reasonable time after the issuance of the order.
NMS § 59A-17-23