Heat a large skillet over medium-high heat. Add sausage, breaking meat apart with a wooden spoon, and cook until meat is thoroughly cooked and no longer pink, about 5-7 minutes. Spread the cooked sausage over the bottom of a 9×13-inch casserole dish.
Add eggs to a large bowl and whisk. Whisk in the cream, hot sauce, and shredded cheddar cheese. Pour the egg mixture over the sausage and spread evenly.
Bake until firm and cooked through, 30 to 40 minutes.