Final answer:
A professional working relationship between colleagues is not a relationship contrary to good order and discipline, as it promotes productivity and efficiency without compromising the command hierarchy.
Step-by-step explanation:
The circumstance that is NOT an example of a relationship that is contrary to good order and discipline is D) Professional working relationship between colleagues. This type of relationship is expected and encouraged as it fosters a productive and efficient work environment. On the other hand, consensual romantic involvement between peers (A), fraternization between an officer and an enlisted service member (B), and supervisor-subordinate dating within the same chain of command (C) can potentially disrupt the command hierarchy, introduce bias, and negatively impact unit cohesion and morale.