Shame of this person wrapped in shroud on getting busted (9)
I believe the answer is:
dishonour
'shame' is the definition.
('dishonour' can be a synonym of 'shame')
'this person wrapped in shroud on getting busted' is the wordplay.
'this person' becomes 'i'.
'wrapped in' is an insertion indicator.
'getting' means one lot of letters go next to another.
'busted' indicates anagramming the letters.
'shroud'+'on'='shroudon'
'shroudon' is an anagram of 'dshonour'.
'i' inserted within 'dshonour' is 'DISHONOUR'.
'of' is the link.
(Other definitions for dishonour that I've seen before include "Slight" , "disgrace" , "scandal" , "Shame" .)