Severe pain will upset your stomach make you throw up. If your pain is severe, your body is telling you something important. Seriously. The ear canal could be hurting because you have an infection growing in the root of one of your teeth.
Don’t mess with it. The potential consequences are too dire to gamble with.
Are you taking antibiotics? You very likely should be.
Seconded, been there, done that.
Got the root canal to remember it with.