Sausage Keto Stuffed Mushrooms (No Breadcrumbs Needed!)

Ingredients

• 24 oz fresh mushrooms, cremini, or white button
• 2 tablespoons unsalted butter, divided
• 3 Italian sausage links (equaling 1/2 lb)
• 1 tablespoon minced shallot
• 1/4 teaspoon garlic powder
• 1/4 cup dry white wine
• 1/2 teaspoon salt
• 1/4 teaspoon cayenne pepper
• 1 teaspoon fresh thyme, finely chopped
• 8 oz cream cheese, softened
• 1 egg yolk
• 3/4 cup grated Parmesan cheese