Final answer:
The NM Board of Nursing Diversion Program is a program that supports nurses recovering from substance issues while allowing them to keep their nursing license.
Step-by-step explanation:
The program designed to support nurses as they recover from substance issues while allowing them to keep their nursing license is the NM Board of Nursing Diversion Program. This program provides resources, treatment, and monitoring for nurses who have substance abuse problems. By participating in the program, nurses can receive the support they need while still being able to practice nursing.