Preheat your oven to 400°F and line a baking sheet with parchment paper for easy cleanup.
Cut the chicken breast into 1-inch bite-sized nuggets, ensuring they are uniform in size for even cooking.
In a small shallow bowl, whisk the egg until smooth. In a separate bowl, combine the almond flour, smoked paprika, garlic powder, sea salt, and black pepper.
Dip each chicken piece into the whisked egg, then dredge thoroughly in the almond flour mixture until evenly coated.
Arrange the coated nuggets on the prepared baking sheet in a single layer and drizzle lightly with avocado oil.
Bake for 15 to 18 minutes, flipping halfway through, until the exterior is crisp and the chicken is cooked through.
While the chicken bakes, whisk together the honey and Dijon mustard in a small bowl to create the dipping sauce.
Steam the broccoli florets for 4 to 5 minutes until they are bright green and tender-crisp.
Serve the hot chicken nuggets alongside the honey mustard dip and the steamed broccoli.