My 9 month old is allergic to peanuts and dairy. Should I not eat them while feeding?

My 9 month old is allergic to peanuts and dairy. Ever since birth she has had allergic reactions where she will break out in hives. The doctor has always said, "it's just an eczema flare up". I know that she has eczema, but these were/are entirely different. Then we noticed after i gave her yogurt that her face swelled up, eyes, were red, and she got hives, after eating a tiny amount of yogurt. She did a similar thing after sitting on out wool area rug for less than a minute. Recently she got a hold of my three year old son's peanut er sandwich. She only got a small amount in her mouth, but within 5 minutes she had hives, swelling, redness of the eyes, and acted "out of it". I immediately paged the dr and he told me to give her benadryl. I took her to an allergist and out of 7 things she was highly allergic to PEANUTS, DAIRY, and CATS. So my question is, should I eliminate these from my diet? My daughter always had mucousy, green stools, though not so much anymore. Only twice have the stools been tinged with blood. The dr always told me it was not an allergy to anything I was eating (before the allergy testing). But her stools have also always been "sour" smelling, and they still are. I do not remember any of this from when I fed my son. I think he (their pediatrician) does not know what he is talking about. Is there any lactation consultants out there that have a good answer to this question? Do these sound like allergic reactions from what I am eating, and should I quit eating these things since it has been confirmed my daughter is allergic to them? Thanks to anyone who answers.