Heat 1 teaspoon of olive oil in a large skillet over medium heat then add the shallots and stir for 1-2 minutes. Next, add the steel cut oats, rolled oats, water, and salt and stir. Bring mixture to a boil, then reduce heat to a a simmer and simmer the oats for 4-8 minutes, stirring occasionally.
While oats are cooking, heat the remaining oil in a separate skillet, then add the brussels sprouts and sweet potato, and cook over medium-high heat, stirring occasionally until they're cooked. Note: you may need to add more oil so that they cook faster.
Once the sprouts and potatoes are cooked, turn the heat down to low and use a spatula to create a hole in the center of the skillet; then, crack an egg in the center. If you're cooking two eggs, create two holes. Fry the egg(s) until it's cooked all the way through.
Once the oats are cooked, stir in the cheese until it's melted, and add black pepper to taste.
To assemble: pour oats into a bowl then top them with the brussels sprouts, potatoes, egg, and hot sauce if using. Enjoy!