Offensiveness (5)
I believe the answer is:
odium
'offensiveness' is the definition.
(odium is disgust or offensiveness)
This is all the clue.
(Other definitions for odium that I've seen before include "reproach" , "Widespread dislike or disgust" , "Offensiveness" , "Antipathy" , "Hatred, repugnance" .)