can milk cause headaches
But it can develop later in life. A milk allergy is an immune system reaction that causes various symptoms to form within the first hour of consuming the dairy product. Headaches and fatigue related to a milk allergy are the result of sinus inflammation.airy products on tabletop. Photo Credit Digital Vision./Photodisc/Getty Images. Consuming dairy products doesn't cause headaches and fatigue in healthy adults. If you eat dairy products and get a headache and fatigue, you may be allergic to milk or may be lactose intolerant.