I’d exposure badly in tragedy (7,3)
I believe the answer is:
oedipus rex
'tragedy' is the definition.
(Oedipus Rex is an ancient Greek tragedy)
'i'd exposure badly' is the wordplay.
'badly' is an anagram indicator.
'id'+'exposure'='idexposure'
'idexposure' anagrammed gives 'OEDIPUS REX'.
'in' acts as a link.
(Other definitions for oedipus rex that I've seen before include "Drama by Sophocles" , "tragic hero" , "One with complex" , "Play" .)