N.M. Stat. § 72-3-2
Water masters; appointment; removal; duties.
A. The state engineer shall, upon the written application of a majority of the water
rights owners of any district in this state, appoint a water master for such district in the
state, who may, for cause, be removed by the state engineer and shall be removed
upon a petition of a majority of the water rights owners of the district. The water master
shall have immediate charge of the apportionment of waters in the water master's
district under the general supervision of the state engineer, and the water master shall
so appropriate, regulate and control the waters of the district as will prevent waste. The
state engineer may, if in the state engineer’s opinion the public safety or interests of
water users in any district in the state require it, appoint such water master for
temporary or permanent service in such district in the absence of the application above
provided for in this article.
B. In instances where the state engineer's appointment of a water master is not in
response to a written application of a majority of the water rights owners of a district, the
provisions of Section 72-3-4 NMSA 1978 shall not apply.