Phoney European looked over, embarrassed (10)
I believe the answer is:
shamefaced
'embarrassed' is the definition.
(I've seen this in another clue)
'phoney european looked' is the wordplay.
'phoney' becomes 'sham' (I've seen this before).
'european' becomes 'e' (abbreviation e.g. EU).
'looked' becomes 'faced' ('face' can be a synonym of 'look').
'sham'+'e'+'faced'='SHAMEFACED'
'over' acts as a link.
(Other definitions for shamefaced that I've seen before include "Sheepish" , "Hangdog" , "Red" , "Showing guilty embarrassment" , "Very modest, bashful" .)