Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Cut the chicken breast into uniform bite-sized pieces to ensure they cook evenly.
In a shallow bowl, whisk the egg until smooth to create the binding wash for the nuggets.
In a separate shallow dish, combine the almond flour, smoked paprika, garlic powder, sea salt, and black pepper.
Dip each chicken piece into the egg wash, allowing any excess to drip off, then dredge thoroughly in the almond flour mixture.
Arrange the coated nuggets on the prepared baking sheet in a single layer, ensuring they do not touch.
Lightly mist the nuggets with olive oil spray and bake for 15 to 18 minutes, flipping halfway through until the crust is golden.
While the chicken is baking, whisk together the Dijon mustard and raw honey in a small bowl until the sauce is velvety.
Steam the broccoli florets in a steamer basket over boiling water for 5 minutes until they are tender and bright green.
Serve the hot, crispy nuggets immediately with the tangy honey mustard sauce and steamed broccoli on the side.