N.M. Admin. Code § 11.21.2.34
Within five days following the service of a tally of ballots or the issuance of a certification pursuant to Subsection A of Section 33 above, a party may file objections to conduct affecting the determination of majority support without an election of the result of the election. Objections shall set forth all grounds for the objection with supporting facts and shall be served on all parties to the proceeding. The director shall, within 30 days of the filing of such objections, investigate the objections and issue a report thereon. Alternatively, the director may schedule a hearing on the objections within 30 days of the filing of the objections. A determination to hold a hearing is not reviewable by the board and shall follow the same procedures set forth in Subsections B, C and D of Section 19, Section 20 and Section 21 above. A party adversely affected by the director's or hearing examiner's report may file a request for review with the board under the same procedures set forth in Section 22, above. If the director, hearing examiner or board finds that the objections have merit and that conduct improperly interfered with the results of the election, then the results of the election may be set aside and a new election ordered. In that event, the director in his or her discretion may retain the same period for determining eligibility to vote as in the election that was set aside, or may establish a new eligibility period for the new election.
N.M. Admin. Code § 11.21.2.34