Reportedly nailed with sensitivity (4)
I believe the answer is:
tact
'sensitivity' is the definition.
(being tactful is being sensitive)
'reportedly nailed' is the wordplay.
'reportedly' shows a homophone (sound like).
'nailed' becomes 'tacked'.
'tacked' is a homophone of 'TACT'.
'with' is the link.
(Other definitions for tact that I've seen before include "Sensitivity in dealing with people" , "Sensitivity (in dealing with others)" , "Diplomatic sensitivity" , "Skill in dealing with people" , "measure of diplomacy?" .)