Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Slice the carrots into thin rounds and break the broccoli into bite-sized florets.
In a large bowl, toss the broccoli and carrots with half of the olive oil, half of the sea salt, and half of the black pepper.
Spread the vegetables in a single layer on one side of the prepared baking sheet.
Pat the chicken breast dry with a paper towel and brush both sides evenly with the Dijon mustard.
In a small shallow dish, combine the almond meal, dried thyme, dried rosemary, garlic powder, and the remaining salt and pepper.
Press the mustard-coated chicken into the almond-herb mixture until the top is thoroughly encrusted.
Place the chicken on the other side of the baking sheet and drizzle the remaining olive oil over the top of the crust.
Roast in the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and slightly browned.
Let the chicken rest for 5 minutes before slicing to ensure it remains juicy.