Combine wild rice and chicken broth in a saucepan and bring to a boil. Reduce heat, cover, and simmer for 30 minutes. There will still be liquid left in the pan.
1/2 cup wild rice, 1 1/2 cups chicken broth
Meanwhile, heat olive oil and butter in a medium-large saucepan and cook the sausage, browning it on all sides. Remove sausage to a plate, slice and set aside.
Add shallots to the oil/butter in the pan and saute for a minute or so, then add sliced mushrooms. Toss to combine and cook over medium heat for 8-10 minutes, stirring occasionally.
Stir in sliced sausage, celery, sage, salt and pepper. Sprinkle with flour and stir to combine. Add Chardonnay and cook until reduced by half, about 4 minutes or so.
Add vegetable broth as well as the rice and its remaining broth, stir and bring to a boil. Reduce heat and simmer uncovered for 12-15 minutes. Stir in heavy cream and cook for another minute or two until heated through.
3 cups vegetable broth, 4 teaspoons heavy whipping cream