Abandoned objective hurt feelings (6)
I believe the answer is:
offend
'hurt feelings' is the definition.
(to offend can mean to hurt someone's feelings)
'abandoned objective' is the wordplay.
'abandoned' becomes 'off' (I've seen this in other clues).
'objective' becomes 'end' (both can mean a purpose).
'off'+'end'='OFFEND'
(Other definitions for offend that I've seen before include "Cause displeasure to, insult" , "Affront - break the law" , "Distress" , "Be disagreeable to" , "Act in disregard of the law" .)