What is the term for overcoming distrust or animosity?

The term that describes the process of overcoming distrust or animosity is "conciliate." To conciliate means to bring about a state of harmony or peace between opposing parties or individuals, often by addressing grievances and promoting understanding. It involves efforts to appease, soothe, and resolve conflicts, fostering a more collaborative and amicable relationship.

In contrast, conjecture refers to forming conclusions or opinions based on incomplete information, which does not address issues of trust or animosity. Constrict pertains to making something narrower or tighter and does not relate to relationships or feelings. Connotation is about the implied or associated meanings of words, rather than the actions taken to resolve interpersonal issues. Therefore, "conciliate" is the term that best encapsulates the idea of mending relationships by overcoming negative feelings.