§ 45-5-203 NMSA 1978

A minor of fourteen or more years who is the subject of a parental appointment of a guardian may prevent the appointment or may cause it to terminate by filing in the court in which the will is probated or, in the case of a non-testamentary instrument, in the court where the minor resides or is present, a written objection to the appointment before it is accepted or after its acceptance. An objection may be withdrawn. An objection does not prevent appointment by the court in a proper proceeding of the parental nominee or any other suitable person.