Welcome to healthcare magic
If a person is allergic to chicken and also confirmed by skin prick test , there is a chance of contact urticaria
to chicken if you touch it also. Contact urticaria is causing the pain and rash
over her fingers.
I will recommend her to use a polythene gloves while handling chicken meat. Latex gloves are better to be avoided. Tasting the meat should be done by another person.
Hope this helped