Country girl's back in an Indian state (6)
I believe the answer is:
angola
'country' is the definition.
(I know that Angola is a country)
'girl's back in an indian state' is the wordplay.
'back' suggests the final letters (the letter at the back).
'in' indicates putting letters inside.
'indian state' becomes 'goa' (Goa is a state of India).
The final letter of 'girl' is 'l'.
'an'+'goa'='angoa'
'l' going inside 'angoa' is 'ANGOLA'.
(Other definitions for angola that I've seen before include "SW African country" , "SW African nation" , "SW African republic, capital Luanda" , "African state (and Department of Health?)" , "SW African state" .)