First woman's hugging including display (6)
I believe the answer is:
evince
'display' is the definition.
(I've seen this before)
'first woman's hugging including' is the wordplay.
'first woman' becomes 'eve' (I've seen this before).
'hugging' means one lot of letters goes inside another.
'including' becomes 'inc'.
'eve' going around 'inc' is 'EVINCE'.
(Other definitions for evince that I've seen before include "Make evident" , "Show, disclose" , "Make clear, show (quality)" , "Express, show" , "Venice (anag.)" .)