Greek god angry being rejected (4)
I believe the answer is:
eros
'greek god' is the definition.
(Eros is an example)
'angry being rejected' is the wordplay.
'angry' becomes 'sore' (similar in meaning).
'being rejected' is a reversal indicator.
'sore' in reverse letter order is 'EROS'.
(Other definitions for eros that I've seen before include "capital statue" , "Arrow shooter" , "Greek name of Cupid" , "God of love; life instinct (Freud)" , "London landmark" .)