Having the impudence to confront (4)
I believe the answer is:
face
'to confront' is the definition.
('face' can be a synonym of 'confront')
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for face that I've seen before include "Confront - mug (slang)" , "Countenance, visage" , "Outward appearance" , "Cope with" , "set of features" .)