Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper for easy cleanup.
Cut the chicken breast into 1-inch bite-sized nugget pieces, ensuring they are uniform for even cooking.
In a small shallow bowl, whisk the egg white until it is slightly frothy and aerated.
In a separate shallow bowl, combine the almond flour, grated parmesan, garlic powder, smoked paprika, sea salt, and black pepper.
Dip each chicken piece into the egg white, then dredge thoroughly in the almond flour mixture, pressing firmly to ensure the coating adheres.
Arrange the nuggets on the prepared baking sheet in a single layer and lightly drizzle with the extra virgin olive oil.
Bake for 12-14 minutes, flipping the nuggets halfway through, until the coating is crisp and the chicken is cooked through.
Top each nugget with a small portion of shredded cheddar cheese and return to the oven for 2 minutes until the cheese is gooey and melted.
While the nuggets finish, steam the broccoli florets for 5 minutes until they are vibrant green and tender-crisp.
Serve the cheesy nuggets immediately alongside the steamed broccoli for a balanced and kid-friendly meal.