Heat a large skillet over medium-high heat. Cook and stir beef in the hot skillet until lightly browned and crumbly, 5 to 7 minutes. Drain and discard fat.
Transfer beef to a slow cooker. Add tomatoes, tomato sauce, green bell peppers, water, onions, rice, Worcestershire sauce, chili powder, and hot sauce. Cook on High until rice is tender, about 3 hours. Serve in bowls and top with Cheddar cheese.