Terribly bored, but dressed (5)
I believe the answer is:
robed
'dressed' is the definition.
('robed' can be a synonym of 'dressed')
'terribly bored' is the wordplay.
'terribly' indicates anagramming the letters.
'bored' with letters rearranged gives 'ROBED'.
'but' acts as a link.
(Other definitions for robed that I've seen before include "Wearing judge's garments" , "Attired" , "Dressed" , "In a long garment" .)