N.M. Stat. § 66-8-103
Only a physician, licensed professional or practical nurse or laboratory technician or technologist employed by a hospital or physician shall withdraw blood from any person in the performance of a blood-alcohol test. No such physician, nurse, technician or technologist who withdraws blood from any person in the performance of a blood-alcohol test that has been directed by any police officer, or by any judicial or probation officer, shall be held liable in any civil or criminal action for assault, battery, false imprisonment or any conduct of any police officer, except for negligence, nor shall any person assisting in the performance of such a test, or any hospital wherein blood is withdrawn in the performance of such a test, be subject to civil or criminal liability for assault, battery, false imprisonment or any conduct of any police officer, except for negligence.
NMS § 66-8-103