In a large bowl, whisk together the warm milk, sugar, and active dry yeast. Wait 5 minutes for it to activate.
Add the gluten free all-purpose flour, melted butter, eggs, baking powder, and salt to the bowl. Beat with an electric mixer on medium speed for 3 minutes until you have a thick, sticky batter.
Grease a standard 12-cup muffin tin generously with butter or oil.
Using a wet spoon or ice cream scoop, portion the batter evenly into the muffin cups, smoothing the tops with wet fingers.
Cover the tin loosely with a towel and let the rolls rise in a warm place for 45 minutes until they puff up above the rim of the cups.
Preheat the oven to 375F. Bake the rolls for 15 to 18 minutes until lightly browned on top.
Remove from the oven and brush the warm rolls with a little extra melted butter for a soft, shiny crust.