Lot of the woman's maturity captivating Italian (8)
I believe the answer is:
heritage
'lot' is the definition.
(someone's lot in life is their inherited situation)
'the woman's maturity captivating italian' is the wordplay.
'the woman' becomes 'her'.
'maturity' becomes 'age' (I've seen this before).
'captivating' indicates putting letters inside (I've seen this in other clues).
'italian' becomes 'it'.
'her'+'age'='herage'
'herage' placed around 'it' is 'HERITAGE'.
'of' is the link.
(Other definitions for heritage that I've seen before include "Stuff handed down from the past" , "Family property" , "Property or practices passed down" , "Our historic legacy" , "NT's domain" .)