Country gets me terribly angry (7)
I believe the answer is:
emirate
'country' is the definition.
(emirate is a type of country)
'me terribly angry' is the wordplay.
'terribly' indicates anagramming the letters.
'angry' becomes 'irate' (irate can mean angry or annoyed).
'me' is an anagram of 'em'.
'em'+'irate'='EMIRATE'
'gets' is the link.
(Other definitions for emirate that I've seen before include "state forbidding alcohol?" , "Team ire (anag.)" , "state of Middle East?" , "A Middle East office" , "Such as Abu Dhabi or Dubai" .)