Which of the following conditions requires medical management but is not life-threatening?

Hypertensive urgency is a condition characterized by severely elevated blood pressure without immediate evidence of organ damage. While it necessitates prompt medical management to prevent potential complications, it is not considered life-threatening in the same way that cardiac arrest, severe allergic reactions, or acute respiratory distress are.

In the case of cardiac arrest, immediate intervention is vital, as it is a critical emergency with a high risk of death if not treated swiftly. Severe allergic reactions can progress quickly to anaphylaxis, which is potentially life-threatening and also requires immediate treatment. Acute respiratory distress represents a significant compromise to breathing, posing a substantial risk to life if not promptly addressed.

Therefore, of the given conditions, hypertensive urgency is unique in that it requires timely management to avoid more serious consequences but does not present an immediate threat to life.