Easy Gluten Free Eggnog Bread with Eggnog Icing

Name: Easy Gluten Free Eggnog Bread with Eggnog Icing
Prep time: 20 min
Cook time: 60 min
Total time: 85 min
Ingredients: 2 cups gluten free flour blend (see notes); 1 teaspoon xanthan gum; 1 teaspoon baking powder; ½ teaspoon baking soda; ½ teaspoon fine sea salt; ¼ - ½ teaspoon ground nutmeg (see notes); 1 cup granulated sugar; 2 large eggs (room temperature); 1 cup eggnog (room temperature); 1/3 cup avocado oil (canola or vegetable oil can be subbed); 1 tablespoon white vinegar; 1 ½ teaspoons pure vanilla extract; 1 cup powdered sugar; 1 Tablespoon butter (softened); 1-2 Tablespoons Eggnog; ½ teaspoon pure vanilla extract; ½ teaspoon rum extract; Pinch of fine sea salt