Woman’s greeting abrupt, extremely surly (6)
I believe the answer is:
curtsy
'woman's greeting' is the definition.
'abrupt extremely surly' is the wordplay.
'abrupt' becomes 'curt' (I've seen this before).
'extremely' means to remove the middle letters.
'surly' with its centre removed is 'sy'.
'curt'+'sy'='CURTSY'
(Other definitions for curtsy that I've seen before include "Kind of respectful bob made by women" , "Woman's formal greeting" , "Bend the knee in respect" , "Gesture of respect by women" , "Female obeisance bending the knees" .)