Embarrassed at having to go in to be scolded (5)
I believe the answer is:
rated
'to be scolded' is the definition.
(rate can mean to scold harshly)
'embarrassed at having to go' is the wordplay.
I cannot quite understand how this works, but
'at' is present in the answer.
'embarrassed' could be 'red' (someone may blush or go red when embarrassed) and 'red' is present in the remaining letters.
This accounts for all the letters.
This explanation may well be incorrect...
'in' acts as a link.
Can you help me to learn more?
(Other definitions for rated that I've seen before include "Had a high opinion of" , "Scolded (archaic); assessed" , "Reckoned" , "Graded, ranked" , "Classified or graded" .)