My DD had CMPA, she still gets a rash now if she has milk to drink, (she prefers not to, and can tolerate it in foods daily)
Luckily for us hers was the non-IgE delayed reaction, which can appear up to 48 hrs after milk.
The consultant said she should grow out of it by age 5 ish, but she is 8 now. So the symptoms are getting less.
The NHS website says CMPA symptoms are -
Skin reactions– such as a red itchy rash or swelling of the lips, face and around the eyes
Digestive problems– such as stomach ache, vomiting, colic, diarrhoea or constipation
Hay fever-like symptoms– such as a runny or blocked nose
Eczema that does not improve with treatment
DD skin was so sore, and her nose was constantly green running, she had trouble doing P.E at School as she was coughing so much, and a bad stomach. It took me a while to work out what it was.
They did give her an inhaler initially until we worked out it was the milk issue.
Why don't you just let her have it in food for a week and see if it helps,
DD has Coconut, Almond, Oat or Cashew milk in smoothies etc.