The Sufi monasteries in Yemen did record their use of coffee as a drink, but history favours Ethiopia.
I suspect the quizmaster specifically worded the question to leave Ethiopian/African contributions off of the list, like so many JetPunk quizzes.
Africa tends to show up on JetPunk and the media when it involves disease, poverty, and wildlife.
But yeah, I don't get how an "American coffee" is coffee and water. That is all coffee. Most Americans don't drink straight black coffee, so I don't get it.
And Armenians call it Armenian coffee for the same reason Greeks call it Greek coffee.
Did the Ethiopians not drink the beans, making Yemen the correct answer? What am I missing here?