Heat the extra virgin olive oil in a large cast-iron skillet over medium-high heat.
Add the diced sweet potatoes to the skillet and cook for 5-7 minutes, stirring occasionally, until they are tender and golden brown.
Add the ground turkey to the skillet, breaking it up with a wooden spoon or spatula, and cook until browned and no longer pink.
Stir in the diced bell peppers and red onions, then season with sea salt, black pepper, garlic powder, and smoked paprika.
Sauté for another 3-4 minutes until the vegetables have softened, then fold in the chopped kale until it is just wilted.
Using the back of a spoon, create two small wells in the turkey and vegetable mixture.
Carefully crack one egg into each well, then cover the skillet with a lid.
Cook for 2-3 minutes, or until the egg whites are fully set but the yolks remain slightly runny.
Remove from heat and serve immediately directly from the skillet.