Looking embarrassed -- expensive-sounding for a stag? (3,4)
I believe the answer is:
red deer
'a stag?' is the definition.
(stag is a kind of red deer)
'looking embarrassed expensive-sounding' is the wordplay.
'looking embarrassed' becomes 'red' (I've seen this before).
'expensive' becomes 'dear' (I've seen this before).
'sounding' indicates a 'sounds like' (homophone) clue.
'dear' sounds like 'deer'.
'red'+'deer'='RED DEER'
'for' acts as a link.
(Other definitions for red deer that I've seen before include "Antlered animal" , "Large British ruminant" , "Large animal native to the British Isles" , "Common stag or hind" , "Large cervine animal" .)