Pious Ed, strangely complex character (7)
I believe the answer is:
oedipus
'complex character' is the definition.
(I've seen this before)
'pious ed strangely' is the wordplay.
'strangely' indicates anagramming the letters.
'pious'+'ed'='pioused'
'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" .)