N.M. Admin. Code § 22.600.6.16
If a driver who has requested a hearing fails to appear at the scheduled time and place, either in person or through an authorized representative attorney, and notice was given to the driver or to the driver's representative of the date, time, and place of the hearing, and no continuance has been granted, the right to a hearing shall be forfeited and the revocation shall be sustained. In considering the non-appearance and whether the person received appropriate notice, the hearing officer may consider the contents of the administrative file, information conveyed to or known by administrative hearings office staff, information related to mailing, including mail tracking, returned receipt information, and notes written on returned envelopes of the United States postal service or other mail tracking services, and arguments offered by the present party, all of which shall be addressed on the record of the hearing or in any subsequent order. Oral rulings of default for failure to appear are not final until reduced to writing. Such rulings may be changed by written order as new information arises after the hearing related to whether the notice of hearing was properly sent to the correct address, such as but not limited to a returned envelope from the postal service received after the hearing date. If a driver waives the right to a hearing or withdraws the request for hearing, the right to a hearing shall be forfeited and the revocation shall be sustained.
N.M. Admin. Code § 22.600.6.16