N.M. Stat. § 12-10A-12
Medical examination and testing.
A. During a state of public health emergency, medical examinations or tests may be
performed by a qualified person authorized by the secretary of health to provide medical
examinations or tests.
B. The secretary of health may isolate or quarantine a person whose refusal of
medical examination or testing results in uncertainty regarding whether the person has
been exposed to or is infected with a threatening communicable disease or otherwise
reasonably poses a danger to public health.