Answer:
The country that Bordeaux is in is France. Bordeaux is also known for its red wines.
If by county, you means what province, or state/county/region Bordeaux is in :
it is the capital city of the Aquitaine (Aquitani) region in SW France.
(*Not to be confused with Bourdeaux :Bourdeaux is a commune in the Drôme department in south-eastern France.)