Peel and cube the sweet potato into small 1/2-inch pieces to ensure they cook quickly and evenly.
Heat the olive oil in a large non-stick skillet over medium-high heat.
Add the ground turkey and sweet potatoes to the skillet, cooking until the turkey is browned and the potatoes begin to soften.
Stir in the diced red onion, bell pepper, sea salt, black pepper, garlic powder, and smoked paprika.
Reduce the heat to medium, cover the pan, and cook for 5-7 minutes until the sweet potatoes are fork-tender.
Remove the lid and stir in the chopped kale, sautéing for 1-2 minutes until just wilted.
While the hash finishes, bring a small pot of water to a gentle simmer with the apple cider vinegar and poach the eggs for 3 minutes for a runny yolk.
Divide the turkey and sweet potato hash into bowls and top each serving with the fresh poached eggs.