Sharp and urgently pressing? (5)
I believe the answer is:
acute
I believe this is a double definition.
'sharp' is the first definition.
(I know that sharp can be written as acute)
'urgently pressing?' is the second definition.
(I've seen this before)
'and' is the link.
(Other definitions for acute that I've seen before include "Extremely sharp or intense" , "Keen; severe" , "(Of an angle) less than 90deg" , "Shrewd; severe" , "Grave" .)