The basic concept here is that you're making a soupy fondue.
Course: Soup
Keyword: beer, cheese, dairy, fondue
NOTE ON THE ROUX When I say "just add a roux," I mean to take equal parts all-purpose flour and unsalted butter, melt the butter in a heavy pan, stir in the flour with the back of a wooden spoon, and cook, stirring over medium heat at least until blonde, but sometimes closer to a light caramel, especially for darker gravies. Then gradually stir in your stock.