Preheat oven to 350 degrees. Fill a cupcake pan with paper liners or grease the pan if not using liners.
In a large bowl combine the cinnamon, flour, sugar, baking powder, salt and carrots. Stir to combine. Add the melted butter, milk, eggs and vanilla to the bowl. Stir the ingredients together until just moistened. Spoon batter into muffin liners until3/4 full. Bake 22 - 26 minutes or until a toothpick inserted comes out clean. Remove from oven to a cooling rack. Cool to warm. Dip the muffin tops in the Honey Glaze.
In a small saucepan, combine the honey, butter and orange zest. Cook on low heat, whisking until butter has melted and ingredients are well combined. Dip the warm muffin tops in the glaze.