In 3- to 4-quart slow cooker, mix chicken, onion, carrot, garlic and water.
Cover; cook on Low heat setting 6 to 7 hours.
Stir in rice and butter. Increase heat setting to High. Cover; cook 5 minutes until rice is tender. Stir in soup and cheese. Cover; cook 10 to 15 minutes or until thoroughly heated. Serve immediately.