A Queen with flag backing country (7)
I believe the answer is:
eritrea
'country' is the definition.
(I've seen this before)
'a queen with flag backing' is the wordplay.
'queen with' becomes 'er' (short for Elizabeth Regina ie Queen Elizabeth. I am not sure about the 'with' bit.).
'flag' becomes 'tire' (both can mean to become weary).
'backing' says the letters should be written backwards.
'a'+'er'+'tire'='aertire'
'aertire' in reverse letter order is 'ERITREA'.
Can you help me to learn more?
(Other definitions for eritrea that I've seen before include "Northeast African country" , "NE African state" , "NE African country" , "Asmara area" , "Red Sea country, capital Asmara" .)