The word un-engaged signifies the absence of commitment or involvement. It has a negative connotation, implying that someone is disinterested or indifferent. Some synonyms for un-engaged include aloof, apathetic, detached, dispassionate, indifferent, uninvolved, unconcerned, and uncommitted. These words emphasize a lack of interest or investment in something. A person who is un-engaged may be seen as passive or apathetic, failing to participate or contribute meaningfully. However, it's worth noting that being un-engaged may also be a deliberate choice, such as when someone is taking a step back from an overwhelming situation to gain perspective or preserve their own mental health.