Object to having issued message again (6)
I believe the answer is:
resent
This clue is a double definition.
'object to' is the first definition.
(to resent something is to dislike it)
'issued message again' is the second definition.
(sent a message again)
'having' acts as a link.
(Other definitions for resent that I've seen before include "Find objectionable" , "Feel bitter or envious" , "Be offended by" , "Don't like" , "being put in post again" .)