Hi and welcome! Like GoingNuts, I don't have any good answers for you. I did find this article about progesterone hypersensitivity, the diagnosis, and successful treatment and desensitization in a 16 year old. Hopefully it will at least give you a direction to look.
https://www.annallergy.org/article/S1081-1206(18)31456-X/fulltextMy only other suggestion would be perhaps there's something food or environmental that your daughter might be allergic to and hormonal fluctuations cause her to be more sensitive and show clinical symptoms only during those fluctuations. It's been proven that estrogen can make allergic symptoms worse, so I guess it could be a possibility. I wonder if testing around 30 days from her last reaction would show any different results? Of course, I'm guessing you're in prevent-anaphylaxis-mode at that point and testing wouldn't be possible with antihistamines in her system.
I'm sorry you and she are going through this!