Creamy Mustard Shallot Chicken

Name: Creamy Mustard Shallot Chicken
Ingredients: 1 Tbsp. all-purpose flour; 1½ tsp. Diamond Crystal or ¾ tsp. Morton kosher salt, divided; 1½ tsp. ground turmeric, divided; 2 skinless, boneless chicken breasts (about 1½ lb. total); 2 Tbsp. extra-virgin olive oil, divided; 2 medium shallots, thinly sliced; 4 garlic cloves, finely chopped; 3 sprigs thyme, plus leaves for serving; 1 cup heavy cream; 3 Tbsp. Dijon mustard; 1 Tbsp. honey; 1 tsp. freshly ground pepper; Steamed rice or toasted country-style bread (for serving)