I know that there is a great number of people who are allergic to metal. Metal frames are made of nickel, iron, copper, etc. If you are only allergic to one of them, you can choose a frame which does not include it.
Ok, you can ignore the metal frames and pick a plastic frame instead. Why not try Tr frames? I personally super love them cause there are so many color options. I can wear different styles every week.
Some allergies can be treated. You may consult your doctor first. If there is nothing he can do, you can wear contacts, or any other frame which won’t cause allergies.