Preheat the oven to 375ºF.
In a large skillet over medium heat, sauté the onion, carrot, and garlic in avocado oil (or fat of choice) for about 5 minutes to soften. Add the bell pepper and spices & continue to cook for about 2 minutes, or until the spices are fragrant. Add the broth, coconut milk, & lime juice, and bring to a simmer. Stir in the arrowroot for added thickness. Add the shredded chicken, and season with salt & pepper to your taste preference.
Drizzle the bottom of a 9 x 13” baking dish with avocado oil, to avoid sticking. Fill the bottom of the dish with riced cauliflower, then top with the chili mixture. Crack three eggs into the dish, and stir them in with a fork until the eggs are no longer visible.
Transfer to the oven, and bake for 40-45 minutes, or until lightly browned around the edges. Allow it cool for a few minutes so it gets firm, then slice into squares & serve topped with cilantro, fresh lime, hot sauce, & avocado. Enjoy!