Rich soup — food to get embarrassed about (7)
I believe the answer is:
chowder
'rich soup' is the definition.
(I've seen this before)
'food to get embarrassed about' is the wordplay.
'food' becomes 'chow' (chow is a kind of food).
'to get' is a charade indicator (letters next to each other).
'embarrassed' becomes 'red' (someone may blush or go red when embarrassed).
'about' shows that the letters should be reversed in order.
'red' in reverse letter order is 'der'.
'chow'+'der'='CHOWDER'
(Other definitions for chowder that I've seen before include "Thick fish stew" , "Rich seafood soup" , "Fish soup for cowherd" , "Clam stew, soup" , "dish in America" .)