Well, I remember my friend saying to me the last time I had an "episode" aka anaphylaxis shock, that whatever it was it was an allergy because of the hives. You mention your daughter having had hives it's the clue, that says please go see an allergist before submitting her to a battery of invasive and scary tests, particularly for a child.
And I also remember my allergist walking in and asking me what was going on and he said I know what you have and you're allergic to red meat and I thought what???? He said he would do one simple blood test and let me know in a few days and that I should avoid all mammalian meat and products until I heard back.
I got back the results and sure enough he was right, and for me it was a relief to know. I had been dealing with it since 1990 and that was 2013. Had no idea that anyone of those episodes could have killed me although I felt like I was dying in all of them.
From what I understand even her Pediatrician can run this test, its the Alpha IGe test.
Good luck and a meat allergy is a simply thing to fix and bonus she will probably be healthier because of it, red meat is not good for anyone 🙂