In a large ovenproof skillet, melt 1 tablespoon butter over high heat. In a small bowl, stir together salt, thyme, and pepper; sprinkle all over pork chops. Add chops, and cook until golden brown on both sides. Remove chops from skillet.
Melt remaining 1 tablespoon butter in skillet over medium heat. Whisk in flour, and cook for 1 minute. Whisk in coffee and red pepper until smooth, and bring to boil. Return pork chops to skillet, and transfer to oven.
Bake until a meat thermometer inserted in thickest portion registers 145°, about 10 minutes. Let stand for 5 minutes before serving.
Recipe by Paula Deen Magazine at https://pauladeenmagazine.com/pork-chops-with-red-eye-gravy-recipe/