Bring 1 cup of water and salt to a boil in a medium sauce pan. Stir in the wild rice and return to a boil.
Reduce heat to low, cover and simmer until tender, about 30-50 minutes. Drain and set aside.
Meanwhile, in a large saucepan, heat olive oil over medium-high heat. Add garlic, onion, and thyme and cook, stirring often, for about 2 minutes,
Add mushrooms, reduce heat to medium, and cook, stirring occasionally, until onion in tender, about 7 minutes.
Add broth and bring to a boil. Reduce heat to low, cover and simmer for 20 minutes.
Transfer half of the soup to a blender and blend until almost pureed.
Return to the saucepan and stir in wild rice and pepper.
Return to a simmer over medium heat high heat. Cover, reduce heat to low, and simmer 10 minutes.
Adjust seasoning to taste.