N.M. Stat. § 58-10-82
In addition to other powers conferred by law, the supervisor may order any shareholder or person entitled to vote in an association to refrain from voting his shares or membership on any matter if he finds that such order is necessary to protect the association against reckless, incompetent or careless management, to safeguard the accounts of its members or to prevent the willful violation of the Savings and Loan Act or of any lawful rule or order issued thereunder, in which case the shares of such a shareholder or membership of such person entitled to vote shall not be counted in determining the existence of a quorum or a percentage of the outstanding shares or membership necessary to take any corporate action. Prior to entering such an order, the supervisor shall deliver a full statement of the facts supporting such proposed order to the shareholder or person concerned and to the board of directors of the association, along with a statement of his intention to enter the order. If a hearing on the matter is requested within thirty days after the delivery, the supervisor shall hold a public or private hearing at which any pertinent evidence relating to the matters set forth in the statement may be presented. After the hearing the supervisor shall enter an appropriate order based on his findings from the evidence presented. If no hearing is requested within the time specified, the supervisor may proceed to enter an order on the basis of the facts set forth in his original statement.
NMS § 58-10-82