Nouns

(n)urgencythe state of being urgent; an earnest and insistent necessity
(n)urgencypressing importance requiring speedy action“the urgency of his need”
(n)urgencyan urgent situation calling for prompt action“I'll be there, barring any urgencies”, “they departed hurriedly because of some great urgency in their affairs”
(n)importunity, urgency, urginginsistent solicitation and entreaty“his importunity left me no alternative but to agree”