N.M. Stat. § 1-2-30
Watchers and election observers; penalty.
The act of denying a watcher or an election observer, who has presented a written
appointment to the precinct board [election board] and who is not interfering with the orderly
conduct of the election, the right to be present at the polling place or denying a watcher or
election observer the right to witness the precinct board [election board] in the conduct of its
duties is a petty misdemeanor.