Hurting Greek god's back (4)
I believe the answer is:
sore
'hurting' is the definition.
(synonyms)
'greek god's back' is the wordplay.
'greek god's' becomes 'Eros'' (Eros is an example).
'back' says the letters should be written in reverse.
'eros' written backwards gives 'SORE'.
(Other definitions for sore that I've seen before include "Painful or informally angry" , "Raw place (on the body)" , "source of distress" , "Aching; severe" , "Raw or annoyed" .)