Are you sure it is eggs, and not wheat, milk, butter, a spice/herb, etc.?
Also, you may be ok with the yolk or the white part of the egg, or you might be ok if the egg is thoroughly cooked vs. less well cooked.
Consider looking into sublingual desensitization...it can help sometimes. An Environmental Medicine specialist may know of how to do this...
Chronic Lyme, Bart., Gluten & Sulfite Sensitivity, Many Food/Inhalant/Medication/Chemical Allergies & Intolerances, Asthma, Gut dysmotility & non-specific inflammation, Lupus, Osteoporosis, etc.; G-Tube
Meds: Flagyl, Domperidone, Zofran, Claritin, Andrographis & other herbs, homeopathy, supplements, etc.