1. In a 3 1/2- or 4-quart slow cooker, combine broth, uncooked wild rice, carrot, mushrooms, melted butter, marjoram, salt, and pepper.
2. Cover and cook on low-heat setting for 5 to 6 hours.
3. Turn off cooker. Stir in dried cherries, the 2/3 cup green onions, and the pecans. Cover and let stand for 10 minutes. Serve with a slotted spoon. If desired, garnish with additional green onions.