What term describes a situation that is pressing or demanding?

The term that describes a situation that is pressing or demanding is "exigent." This word is often used in legal contexts to refer to circumstances that require immediate action or attention. It implies a sense of urgency where inaction could lead to negative consequences. For instance, in law enforcement, exigent circumstances might justify a warrantless search if there is imminent danger to life or evidence is at risk of destruction.

The other terms, while they have their own meanings, do not convey the same sense of urgency or demand. "Robust" generally refers to something strong or able to withstand pressure but lacks the implication of immediacy. "Fallacious" pertains to something based on mistaken beliefs or unsound reasoning, which does not relate to urgency. "Fracas" is a term for a noisy disturbance or quarrel, which describes conflict rather than pressing necessity.