Is Kahlua Rum And Coffee Liqueur Gluten-free?

Is Kahlua Rum And Coffee Liqueur Gluten-free? Is Kahlúa Gluten free? The processes of distillation should eliminate cereal proteins from distilled spirits drinks and therefore distilled drinks are generally accepted for a gluten-free diet. We do not add any known gluten ingredients in Kahlúa Original or the Kahlúa Flavors. Does Kahlua liqueur have gluten? So