Dice the yellow potato into small 1/2-inch cubes to ensure quick and even cooking.
Heat half of the olive oil in a large non-stick skillet over medium-high heat.
Add the potatoes to the skillet and cook for 8-10 minutes, stirring occasionally, until they are golden brown and fork-tender.
Remove the potatoes from the skillet and set them aside on a plate.
In the same skillet, add the remaining olive oil along with the ground turkey, diced onion, and red bell pepper.
Break up the turkey with a spatula and stir in the oregano, fennel seeds, garlic powder, sea salt, and black pepper to create a sausage-style flavor profile.
Cook until the turkey is browned and the vegetables are soft, approximately 5-7 minutes.
Return the cooked potatoes to the skillet and toss with the turkey mixture until well combined and hot.
In a separate small non-stick pan, fry the egg to your desired level of doneness, ideally leaving the yolk runny.
Transfer the turkey and potato hash to a plate and top with the fried egg to serve.