Yeah, that's not sound medical advice which is why PCPs should not be practicing as allergists. The problem is when a PCP has convinced his or herself to the contrary.
Here's the thing: we (on the board) will have no idea what your daughter is actually reacting to. Could be a food, might not. If it's a food could be milk and/or egg, might not. I'd jettison the idea of extremism as a preoccupation because it's a relative term and right now you need more accurate medical terms with specific application.
*your daughter is experiencing hives. But...
Is that the only symptom? Swelling, stomach pain, nausea, diarrhea, itchy tingly lips and throat, tightness in throat, wheeze, lungs feeling squeezed within 20-30 minutes of ingestion?
* RAST (the IgE blood test) shows some positives to milk and egg. But...
It's a little odd to suddenly develop reactions to milk and egg starting at age 7 with a history of tolerance. I mean up until a month ago she was eating it sans symptoms.
The facts are she IS presenting with sounds like IgE-mediated symptoms of at least hives. That's what you have objectively observed. She may or may not be experiencing something she has not reported. The only sure predictability about IgE-mediated reactions is that they are unpredictable. You do not want to worry about 'extremism' or the appearance of it when a reaction presents that needs emergency meds and to follow with an emergency action plan. In other words you don't want to be in a "Huh. Thought anaphylaxis wasn't supposed to happen" moment with jack squat you can do about it.
You'll need the PCP to write the script for a device. I'm agnostic about devices it's the same substance but EpiPen is the industry standard. It's prescribed based on weight. If your daughter is over the 50 lb mark most allergists would bump up to adult strength. Epinephrine is adrenaline it's really hard to hurt yourself with it unless there's pre-existing conditions that make could increase risk.
Which is why said patient needs a board certified pediatric allergist. Mylan manufactures EpiPen there's a coupon on their website to reduce or eliminate out of pocket expense.
In other words it's not about being extreme or cavalier--it's going to take more data, the appropriate professional to determine and interpret those multiple data points with respect to current best practices, and balancing what must be done with daily life.
Ever had an allergic reaction? I have. That feeling that your body's doing things it shouldn't from a normal healthy food--crazy and scary. But it is what it is and you gotta do it right. You're on the right track in wanting to find the balance but deciding what is required without more data is
wishful thinking confirmation bias.
It may end up that your daughter minimally has generalized systemic IgE-mediated reactions to common food proteins and environmental allergies. She'll need her caregivers to be educated and ready to deal with an allergic emergency when it happens and to employ necessary and appropriate preventive strategies for avoidance.
In summary neither extreme nor cavalier, but methodical. There's an established medical process. FAS as a community is comprised of members pretty dedicated to that even though we're spread out on the bell curve of allergens, single or multiple allergen, co-morbid with asthma, threshold, and history of anaphylaxis, OAS, pattern of outgrowth or persistence.