Preheat your oven to 400°F (200°C).
Heat the extra virgin olive oil in a small oven-safe cast-iron skillet over medium heat.
Add the diced chicken breast to the skillet and sauté until golden brown on all sides, approximately 5 minutes.
Stir in the diced red onion and red bell pepper, cooking for another 3-4 minutes until the vegetables are softened and fragrant.
Add the baby spinach to the skillet and toss until just wilted.
Season the mixture with sea salt, black pepper, fresh thyme, and fresh rosemary.
Use a spoon to create two small wells in the chicken and vegetable mixture.
Carefully crack one egg into each well and sprinkle the crumbled feta cheese over the entire skillet.
Transfer the skillet to the preheated oven and bake for 8-10 minutes, or until the egg whites are set but the yolks are still slightly runny.
Remove from the oven and serve immediately while hot.