Brown the Beef: In a large skillet over medium-high heat, add the ground beef and cook for 5-7 minutes, breaking it apart as it cooks, until no pink remains. Drain any excess fat if needed.
Sauté the Aromatics: Add the chopped onion and bell pepper to the skillet with the cooked beef and cook for 3-4 minutes, stirring occasionally, until the vegetables begin to soften.
Season the Mixture: Sprinkle the Tony Chachere's creole seasoning, garlic powder, smoked paprika, and black pepper over the beef and vegetables. Stir well to distribute the seasonings evenly and cook for 1 minute until fragrant.
Add the Cabbage: Pour the chopped cabbage into the skillet and stir to combine with the beef mixture. The cabbage may seem like a lot, but it will cook down significantly.
Pour the Tomatoes: Add the entire can of diced tomatoes with its juices to the skillet and stir everything together. The liquid will help steam the cabbage and create a flavorful sauce.
Simmer: Reduce the heat to medium and let the skillet simmer uncovered for 15-20 minutes, stirring occasionally, until the cabbage is tender and most of the liquid has reduced.
Add the Cheese: Remove the skillet from heat and sprinkle the shredded cheddar cheese evenly over the top. Cover with a lid or aluminum foil for 2-3 minutes to allow the cheese to melt completely.