In a 3 or 4 quart saucepan set over high heat, bring milk and chicken stock to a boil.
Whisk in 5-minute quick grits.
Stir in salt, pepper, smoked paprika, and garlic powder. Cook quick grits according to package instructions, about 5 minutes, until the grits have absorbed most of the liquid.
Remove pot from heat. With a spatula, stir in smoked gouda cheese, unsalted butter, and a splash (about ¼ cup) white wine. Serve immediately.