Preheat your oven to 350°F (175°C).
In a large mixing bowl, whisk together the gluten-free flour, sugar, baking powder, salt, cinnamon, and nutmeg.
In another bowl, beat the eggs and then add in milk, melted butter, and vanilla extract.
Gradually add the wet ingredients to the dry ingredients, stirring just until combined.
Transfer the batter to a greased and floured baking sheet, shaping it into a ring.
Bake for 25-30 minutes or until a toothpick inserted comes out clean.
Let the cake cool completely before decorating.
Once cooled, drizzle with icing and sprinkle colored sugar on top.