Most allergens are plants. There is even a fruit-vegetable syndrome. LTP syndromes are from proteins that are heat resistant and at times become even more allergenic after processing/cooking. Allergies to nuts are often life threatening.
It is certainly possible to be allergic to animals and rating meat. Fish and seafood is common. Some people are allergic to pork, mainly people with cat allergies for some reason. Specific tick bites can cause allergy to beef and pork. One can be allergic to chicken as well.
But nobody is allergic to meat.
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