Start by melting butter in a large pot over medium heat. Add the sliced mushrooms, minced shallot, and garlic. Sauté for about 2 minutes until the mushrooms begin to soften and release their juices. The aroma at this stage is rich and savory.
Add salt, dried dill, paprika, and thyme to the pot. Stir well to coat the vegetables in the seasonings. Pour in the white wine, Worcestershire sauce, and beef broth. Stir again and allow everything to combine evenly.
Bring the soup to a gentle boil. Add the pearl couscous, cover the pot, and reduce the heat to medium. Let it simmer for about 20 minutes, or until the couscous becomes tender and slightly plump.
Remove the pot from heat once the couscous is fully cooked. Stir in the half and half slowly to create a smooth, creamy consistency. Taste and adjust seasoning if needed before serving.