Woman Caesar’s greeting upset (3)
I believe the answer is:
eva
'woman' is the definition.
(woman's name)
'caesar's greeting upset' is the wordplay.
'caesar's greeting' becomes 'ave' (I've seen this in another clue).
'upset' says the letters should be written backwards.
'ave' back-to-front is 'EVA'.
(Other definitions for eva that I've seen before include "-- Cassidy, singer, 1963-96" , "-- Braun, Hitler mistress" , "- Braun, Hitler's mistress" , "girl appears" , "Female" .)