England and America to only name two. I would consider looking at a map or an atlas for future reference.
America
Vietnam
England
Austria
A desert county with seven letters includes Algeria.
Out of those letters, I'd try America.
BAHAMAS
Denmark.
There is no such country. There is no country that starts with A and ends with T, let alone a 7-lettered one.
Bahrain Belarus BelgiumBermuda Bolivia Britain Burundi
One country that fits your criteria is Finland. It has seven letters, the third letter is 'n,' and the sixth letter is 'a.'
Ecuador England Estonia Finland Liberia Morocco Namibia Tunisia Uruguay