The Doctor encountered the Minister of War[additional sources needed] sometime between Harold Saxon's term as Prime Minister (TV: Under the Lake) in 2008 (TV: The Sound of Drums) and the hatching of Earth's Moon (TV: Under the Lake) in 2049. (TV: Kill the Moon)
The Minister of War was mentioned by Alice O'Donnell when listing major events that happened on Earth after 1980. The Twelfth Doctor did not recognise the title, but expected he'd find out soon enough. (TV: Before the Flood)