N.M. Admin. Code § 11.21.1.18
As part of the board's statutory duty under Section 2 of the Act to ensure the orderly functioning of the state and its political subdivisions; and as part of its power to hold hearings and enforce the act by the imposition of appropriate administrative remedies pursuant to Section 9 of the Act, the hearing examiner or body conducting a hearing or official performing duties under the act may exclude or expel from any hearing or proceeding, any person, whether or not a party, who engages in violent, threatening, disruptive, abusive or unduly disrespectful behavior. An exercise of the board's power to control its proceedings under this rule may include prohibiting a representative from appearing before the board or one of its hearing examiners for a period of time designated by the board, reprimanding, suspending, or recommending referral for other disciplinary action. In the event of such exclusion or expulsion the hearing examiner, body or official shall explain on the record the reasons for the exclusion or expulsion and may either proceed in the absence of the excluded person or recess such proceeding and continue at another time, as may be appropriate. An exercise of this power by an agent of the board is subject to review by the board.
N.M. Admin. Code § 11.21.1.18