Fpies? Is that a typo? If so, what for? 
Cock (I really don't like your name, btw, sorry, I'm really loath to type it out in full!! As I'm sure you can't be one) -- do you manage to digest other protein foods ok? Legume proteins, grain proteins, mushrooms, etc.? If so, it's unlikely to be a digestive insufficiency. There aren't special "meat digester" enzymes, only protein digesters.
It also seems unlikely to be in your head, since it happens whether or not you're aware of the presence of meat.
But you clearly are intolerant to meat, of all kinds, and so, frustrating though it is I tend to agree that you should stop trying to eat it!
I get that you're frustrated because you don't know WHY and you don't know if there's anything that could be done about it - but in all honesty, little enough is done about common allergens that cause anaphylaxis; understanding of immunology is still pretty incomplete and theories change all the time. So I agree with others that you're being unrealistic to try and get doctors to do something - there's not much they CAN do!
I have a friend who finds meat physically repulsive and doesn't eat it in general - but I don't think she's intolerant to it, as you are. But maybe! All her children have some kind of allergy/intolerance (multiple, in most of them) and there is a genetic predisposition for this sort of thing.
Some amino acid products are known to produce reactions in sensitive people - tyramine is a particular one, the breakdown product of tyrosine. Tyrosine is found in high quantities in meats and fish, but also eggs, dairy products, and soy (lesser in other seeds, grains etc.). Tyramine is mostly associated with migraines in sensitive people - but there is such a thing as "abdominal migraine" where the symptoms are not in the head but in the gut: