What term describes the quality that allows an individual to face danger with composure and determination?

The term that best describes the quality enabling an individual to confront danger with composure and determination is courage. Courage involves recognizing fear or perceived threats but still choosing to act in a way that is consistent with one's values and beliefs. It encompasses both the emotional and psychological aspects of dealing with fear, allowing one to maintain control and make reasoned decisions in challenging situations.

Unlike fearlessness, which implies a lack of fear, courage acknowledges fear but chooses to persevere despite it. Bravery often refers to acts of valor or chivalry but may not fully convey the inner strength and resolve that courage embodies. Valor, while similar to bravery, tends to be associated more with heroic acts, often in combat or dire situations, and may not capture the everyday situations where courage is equally important. Thus, courage is the most comprehensive and relevant term for the quality described in the question.