Creamy Chicken and Orzo Soup

Name: Creamy Chicken and Orzo Soup
Prep time: 20 min
Cook time: 25 min
Total time: 45 min
Cuisine: American
Ingredients: 3 tablespoons unsalted butter; 1 sweet onion, (diced); 3 carrots, (peeled and diced); 2 celery sticks, (diced); 3 garlic cloves, (minced); kosher salt and pepper; ½ teaspoon poultry seasoning; 1 ½ cups cooked, shredded chicken; 6 cups chicken stock; 1 parmesan cheese rind; 1 cup uncooked orzo pasta; ½ cup milk; 1 teaspoon all-purpose flour; 3 tablespoons fresh parsley, (plus more for topping); parmesan cheese, (for topping); lemon wedges, (for spritzing)