Ms Coffey made the mistake in front of MPs in Parliament on Wednesday (17 January).
Aiming her comments at Ms Cooper, she said: “I have to say I was somewhat astonished by the speech of the shadow home secretary who can’t even get the name of the country right.
“Talking about the ‘Kigali government’. We are talking about Rwanda. A respected country.”
Kigali is the capital of Rwanda.