Make Roux. Add butter to the pan and melt over medium heat. Sprinkle gluten-free flour over the melted butter and cook 1-2 minutes, to toast slightly, doing your best to scrape up any browned bits from the bottom of the pan.
Whisk Gravy. Add beef broth, and whisk in Worcestershire sauce, 1/2 teaspoon salt, 1/4 teaspoon black pepper, and 1/8 teaspoon allspice. (Add Dijon mustard here, if using). Whisk over medium heat 3-5 minutes, until the mixture is smooth and slightly thickened.
Simmer Meatballs. Add all the browned meatballs to the gravy in a single layer and simmer over medium heat 10-12 minutes (without stirring), or until meatballs are cooked through (the interior should register at least 145 degrees F. on an instant read thermometer).
Finish Sauce. Add sour cream or heavy cream and gently stir through until evenly blended. Garnish with fresh parsley (and another sprinkle of black pepper, if you like!)
Serve & Store. Enjoy warm over mashed potatoes, with a dollop of lingonberry jam, if you like! Store leftover Swedish meatballs in an airtight container in the fridge 2-3 days.