Begin by preheating the oven to 400°F.
Cut the top of the garlic head and coat with cooking fat. Sprinkle with ¼ teaspoon each of sea salt and freshly ground black pepper. Wrap in aluminum foil.
Place the garlic in the oven and roast for 45 minutes until soft.
Brown chicken pieces on all sides in a large oven-proof skillet with 2 tablespoons of cooking fat over medium heat. Reduce heat to low.
Stir in 1 ½ teaspoons dried thyme, 2 bay leaves, a pinch of chili powder, and ⅓ cup white wine. Add 1 teaspoon of sea salt and ½ teaspoon freshly ground black pepper. Stir in drained tomatoes, cover, and simmer for 40 minutes.
Add ¼ cup of homemade or Dijon mustard. Cook for 10 more minutes, uncovered, until the sauce is thickened. Adjust seasoning.
In a bowl, squeeze out the roasted garlic. Season with ¼ teaspoon each of sea salt and freshly ground black pepper. Stir. Serve chicken stew with roasted garlic on the side.