Follow these easy steps to create the delicious Leek, Mushroom, and Rice Creamy Soup:

1. Heat Oil: In a large pot, heat the olive oil over medium heat.
2. Sauté Onions and Leeks: Add the chopped onion and sliced leeks. Sauté for about 5 minutes until they are softened and fragrant.
3. Add Garlic and Mushrooms: Stir in the minced garlic and sliced mushrooms, cooking for another 5 minutes until the mushrooms have released their moisture and turned golden.
4. Combine Rice and Broth: Add the rice to the pot, stirring briefly, then pour in the vegetable or chicken broth. Bring to a boil.
5. Simmer: Reduce the heat to low. Cover and simmer for about 20 minutes or until the rice is cooked and tender.
6. Add Cream: Stir in the heavy cream (or coconut milk) and dried thyme. Let it heat through for another 5 minutes.
7. Season: Taste and season with salt and pepper as needed.
8. Serve: Ladle the soup into bowls and garnish with chopped fresh parsley.

These steps ensure you create a creamy, flavorful soup that is both comforting and delicious.