Celiac was my first thought. I am celiac - all wheat, rye and barley with some oats are a big no. Some oats is okay if it isn't processed in a factory that also does wheat. I am also allergic to yeast and sulfites, so life can get interesting.
Herpetiformis Dermatitis has a intense skin rash -- another autoimmune disease that celiacs are prone to. The hives and itching are miserable. You need to see a doctor. It can be skin this time and throat next time. It's important to know what to avoid.
Chicken is breaded with wheat, which is also the main ingredient in your cake.