1. An urgent situation that demands great attention and exertion and which puts pressure on the people involved: The couple had to cope with the exigencies of their financial situation.
2. A difficult situation requiring urgent action: The case of exigency suddenly came to life as the neighbors daughter was stuck up in a high tree and couldn't get down again!
3. The needs, demands, or requirements intrinsic to circumstances, conditions, etc.: When the great floods covered many parts of the area, fast exigency was called for or insisted on to save the people from losing their homes and even their lives.