Final answer:
Personal relationships between a Navy officer and an enlisted service member are allowed only with non-military affiliation (B), to prevent conflicts of interest and maintain professional conduct and unit cohesion.
Step-by-step explanation:
In the context of military regulations, specifically within the United States Navy, personal relationships between officers and enlisted service members are subject to strict rules. Such relationships are typically prohibited to avoid issues of favoritism, preferential treatment, and conflicts of interest that can arise due to differences in rank and authority. The correct answer to the question regarding the permissible affiliation for personal relationships between a Navy officer and an enlisted service member is B) Non-military affiliation. This means that personal relationships are permissible when there is no direct line of command or authority between the individuals, and when the relationship does not violate the policy on fraternization.
Examples of permissible relationships might include situations where individuals are related (family members) or have a relationship that predates their service. However, all personal relationships must adhere to the overarching principles and regulations regarding professional conduct within the military to avoid impacting unit cohesion and discipline.