The best tea drinks to consume when you have a headache due to hangover are Ginger Tea or Peppermint Tea. These tea drinks are meant to relax your body and it can also relieve you of your pains and aches.
Ginger Tea is especially helpful for those who have motion sickness which is why it is being recommended as a hangover cure. As for Peppermint Tea, it is best for pregnant women with morning sickness so if you have the headache due to wine, this tea will do the job. The tea can also regulate your digestive tract and prevent further stomach pains.