Well as he'd done, it's out of order to be conceited (7-6)
I believe the answer is:
swollen-headed
'be conceited' is the definition.
('swollen-headed' can be a synonym of 'conceited')
'well as he'd done it's out of order' is the wordplay.
'it's out of order' indicates anagramming the letters.
'well'+'as'+'hed'+'done'='wellasheddone'
'wellasheddone' with letters rearranged gives 'SWOLLEN-HEADED'.
'to' is the link.
(Other definitions for swollen-headed that I've seen before include "With an exaggerated sense of self-importance" , "Conceited" .)