Woman and man I knocked back (4)
I believe the answer is:
iris
'woman' is the definition.
(woman's name)
'man i knocked back' is the wordplay.
'man' becomes 'sir' (sir is a kind of man).
'knocked back' is a reversal indicator.
'sir'+'i'='siri'
'siri' written backwards gives 'IRIS'.
'and' acts as a link.
(Other definitions for iris that I've seen before include "Flower - rainbow" , "Flower and eye membrane" , "Rainbow - flag" , "Murdoch in writing" , "Camera diaphragm" .)