Could this reaction be a beef allergy?

I've never particularly been a big red-meat eater but lately I would say my consumption has increased due to eating almost every meal out while my son is in the hospital and I am away from home the majority of the day.

Several days ago my husband and I went to lunch at a national restaurant chain and I had steak. I did not have an immediate reaction although two hours later I began to feel ill. I felt enormous pressure on my ribs and lungs and it was difficult to breathe (I don't know if I was "forgetting" to breathe through the pain or if my lungs were actually having difficulty doing their job), I got terrible abdominal cramps that had me doubled over in pain, and I eventually threw up.

I was certain I had food poisoning, so much so that I called the manager at the restaurant to report what was going on and to see if there were any other issues, but two days later I had a beef sandwich at a national fast food chain and I had the same reaction without actually throwing up.

I did not have any other reaction that I think of as an allergic reaction, i.e. hives, runny nose, watery eyes, etc - primarily the difficulty breathing and intense pain.

Since the first "episode" I have only eaten beef on the two occasions mentioned but I did eat chicken with no reaction.

I understand a beef allergy is rare but do these symptoms sound like an allergic reaction?