N.M. Stat. § 1-2-26
Challengers; penalty.
The act of denying a challenger, 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 challenger the right to challenge voters and
view the signature rosters or checklist of voters or denying a challenger the right to witness the
precinct board [election board] in the conduct of its duties is a petty misdemeanor.