Pious Ed, strangely complex character (7)
I believe the answer is:
'complex character' is the definition.
(I've seen this before)
'pious ed strangely' is the wordplay.
'strangely' indicates anagramming the letters.
'pioused' anagrammed gives 'OEDIPUS'.
(Other definitions for oedipus that I've seen before include "legendary riddle solver" , "Mythical Greek who killed his father and married his mother" , "Greek hero - complex" , "King of Thebes who married his mother" , "King known for complex" .)