You can make this holiday rum cake recipe for everyone to enjoy! There is one primary adjustment you need to make—use a box of yellow cake that is clearly labeled as gluten-free.  Furthermore, it’s wise to double-check the rum you add to this recipe. Rum is naturally gluten-free, but some products may have gluten from flavoring or other additives. And it’s the same with the instant pudding—most brands use cornstarch to thicken it.  However, a few brands may use something different, so it’s smart to ensure the product is gluten-free before serving the altered recipe to those with gluten intolerance or celiac disease.