Rub the chicken with olive oil, Dijon mustard, thyme, sage, garlic, salt, and pepper. Place it in the slow cooker with the shallots, apple cider, and lemon juice.
Cover and cook on low for 3-4 hours (or high for 1-2 hours). The chicken should be fork-tender.
Preheat the broiler. Remove the chicken from the slow cooker, place it on a baking sheet, and set aside.
Turn the slow cooker heat to high. Stir in the orzo, broccoli, and 1 cup water. Cook for 20-30 minutes, stirring occasionally, until the orzo is al dente.
Once the orzo is cooked, stir in the heavy cream and Parmesan cheese until smooth and creamy.
Meanwhile, broil the chicken for 1-3 minutes with a pat of butter on top, until slightly crisped.
Serve the chicken over the creamy orzo with broccoli. Enjoy!