This writer backed angry government (7)
I believe the answer is:
emirate
'government' is the definition.
(I have seen 'Muslim government' mean 'emirate' so perhaps 'government' could also mean 'emirate')
'this writer backed angry' is the wordplay.
'this writer' becomes 'me' (the person who wrote the clues).
'backed' says the letters should be written backwards.
'angry' becomes 'irate' (irate can mean angry or annoyed).
'me' reversed gives 'em'.
'em'+'irate'='EMIRATE'
(Other definitions for emirate that I've seen before include "state forbidding alcohol?" , "Muslim country, such as Kuwait" , "Arab office" , "Abu Dhabi, for example" , "chieftain's office" .)