Source : Webster's Revised Unabridged Dictionary (1913)

Urgency \Ur"gen*cy\, n. [Cf. F. urgence.]
   The quality or condition of being urgent; insistence;
   pressure; as, the urgency of a demand or an occasion.

Source : WordNet®

urgency
     n 1: the state of being urgent; an earnest and insistent
          necessity
     2: pressing importance requiring speedy action; "the urgency of
        his need"
     3: an urgent situation calling for prompt action; "I'll be
        there, barring any urgencies"; "they departed hurriedly
        because of some great urgency in their affairs"
     4: insistent solicitation and entreaty; "his importunity left
        me no alternative but to agree" [syn: {importunity}, {urging}]