Which legal term best describes an ethical issue regarding a person's loyalties?

The choice that best describes an ethical issue regarding a person's loyalties is "conflict of interest." A conflict of interest occurs when an individual faces a situation where their personal interests or loyalties could potentially compromise their professional responsibilities or decision-making. This situation can arise in various scenarios, such as in business, law, and public service, where an individual may have vested interests that could lead to biased actions or decisions.

For instance, if a lawyer represents a client while also having a financial interest in the opposing party's business, this creates a conflict of interest that undermines the lawyer's ability to advocate impartially for their client. Recognizing and managing conflicts of interest is crucial to maintain trust and integrity in professional relationships.

The other terms listed, such as double jeopardy, negligence, and insubordination, do not pertain specifically to issues of loyalty or ethical dilemmas in the same way. Double jeopardy relates to being tried twice for the same crime, negligence involves a failure to exercise appropriate care, and insubordination pertains to disobedience or defiance of authority. Therefore, "conflict of interest" is the most relevant term in the context of ethical issues regarding a person's loyalties.