Woman is pleased? Yes, extremely (6)
I believe the answer is:
gladys
'woman' is the definition.
(I've seen this before)
'pleased? yes extremely' is the wordplay.
'pleased?' becomes 'glad' ('glad' can be similar in meaning to 'pleased').
'extremely' suggests removing the centre (only the extremes of the word are used).
'yes' with its centre taken out is 'ys'.
'glad'+'ys'='GLADYS'
'is' acts as a link.
(Other definitions for gladys that I've seen before include "Knight maybe" , "Female name" , "Girl's name" , "Lady's name" , "- Cooper, Eng. actress" .)