Alternatively, daughter is captivated by month in the country (6)
I believe the answer is:
jordan
'country' is the definition.
(Jordan is an example)
'alternatively daughter is captivated by month' is the wordplay.
'alternatively' becomes 'or'.
'daughter' becomes 'd'.
'is captivated by' indicates putting letters inside.
'month' becomes 'jan' (Jan is an example).
'or'+'d'='ord'
'ord' placed within 'jan' is 'JORDAN'.
'in the' is the link.
(Other definitions for jordan that I've seen before include "Middle East kingdom" , "Sacred river of the Middle East" , "Biblical river or Middle East country" , "Middle Eastern country" , "Country - Michael of basketball - model from Brighton" .)