Furry creature to relax in the country (10)
I believe the answer is:
chinchilla
'furry creature' is the definition.
(I've seen this before)
'relax in the country' is the wordplay.
'relax' becomes 'chill' (I've seen this before).
'in' indicates putting letters inside.
'the country' becomes 'china' (China is an example).
'chill' inserted into 'china' is 'CHINCHILLA'.
'to' is the link.
(Other definitions for chinchilla that I've seen before include "Rabbit" , "little furry animal" , "(Fur of) a small South American rodent" , "furry creature" , "Soft grey fur" .)