In a medium pot, melt the butter over medium heat. Add the celery, carrots and onions and saute for 2-3 minutes. Then add the mushrooms, stirring well. When the onions are translucent, add the vegetable broth and bring to a boil.
Add the wild rice and savory. Simmer for 15 minutes. Stir in the heavy cream and bring the temperature back up to serving temperature. Season with salt and pepper to taste. Serve hot.