N.M. Stat. § 66-13-6
Only a physician, licensed professional or practical nurse or laboratory technician or technologist employed by a hospital or physician shall withdraw blood from a person in the performance of a blood-alcohol or drug test. A physician, nurse, technician or technologist who withdraws blood from a person in the performance of a blood-alcohol or drug test that has been directed by a law enforcement officer, or by a judicial or probation officer, shall not be held liable in a civil or criminal action for assault, battery, false imprisonment or any conduct of a law enforcement officer, except for negligence, nor shall a person assisting in the performance of the test, or a hospital wherein blood is withdrawn in the performance of the test, be subject to civil or criminal liability for assault, battery, false imprisonment or any conduct of a law enforcement officer, except for negligence.
NMS § 66-13-6