N.M. Stat. § 40-6A-504
Immunity from civil liability.
An employer that complies with an income-withholding order issued in another state
in accordance with Sections 40-6A-501 through 40-6A-507 NMSA 1978 is not subject to
civil liability to an individual or agency with regard to the employer's withholding of child
support from the obligor's income.