Yes, COUNTRY is a Scrabble word!

Letter values in Scrabble US: C 3, O 1, U 1, N 1, T 1, R 1, Y 4.

Is it a valid word?

COUNTRY is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

a politically organized body of people under a single government
the territory occupied by a nation
the people who live in a nation or country
an area outside of cities and towns
a particular geographical region of indefinite boundary (usually serving some special purpose or distinguished by its people or culture or geography)

Also: res publica, body politic, rural area.