Embarrassed because pressman eats meat (7)
I believe the answer is:
ashamed
'embarrassed' is the definition.
('ashamed' can be similar in meaning to 'embarrassed')
'because pressman eats meat' is the wordplay.
'because' becomes 'as' (I've seen this in other clues).
'pressman' becomes 'ed'.
'eats' is an insertion indicator.
'meat' becomes 'ham' (ham is a kind of meat**).
'as'+'ed'='ased'
'ased' going around 'ham' is 'ASHAMED'.
(Other definitions for ashamed that I've seen before include "Not proud" , "Troubled by feelings of guilt or embarrassment" , "Feeling embarrassed" , "Feeling remorse and contrition" , "Feeling guilt or embarrassment" .)