Asian female in a West African country, the last to leave (6)
I believe the answer is:
afghan
'asian' is the definition.
(Afghan is an example)
'female in a west african country the last to leave' is the wordplay.
'female' becomes 'f' (abbreviation).
'in' is an insertion indicator.
'west african country' becomes 'ghana' (country in West Africa).
'the last to leave' means to remove the last letter.
'a'+'ghana'='aghana'
'aghana' with its last letter removed is 'aghan'.
'f' put into 'aghan' is 'AFGHAN'.
(Other definitions for afghan that I've seen before include "from somewhere in central Asia" , "Type of coat made from sheepskin" , "Person from Jalalabad" , "Tall, graceful hound with silky coat" , "Nationality of citizen of Kabul" .)