Rinse wild rice under cold water.
Heat oil in large pot.
Sauté onion, carrots, and celery until tender.
Add mushrooms and garlic, cook until fragrant.
Stir in wild rice, broth, thyme, rosemary, salt, pepper.
Bring soup to a boil.
Reduce heat, cover, simmer 45 minutes.
Melt butter in skillet, whisk in flour.
Cook until golden, stir into soup.
Pour in heavy cream, mix well.
Simmer soup 10 more minutes.
Garnish with fresh parsley before serving.