Yes, this is overwhelming, but Very common and is something you all will have to adjust to as the new way of eating. You sound like you have cut milk out of your diet (add soy milk, try that too very yummy vanilla)that is great that you could do that as that helps your baby.
My sons allergies showed up later (I ate PB all the time) he is allergic to peanuts (which are not tree nuts, those are different and you could try other nut butters)
What you should find is a local allergy support group or one online to talk to parents all the time about different worries and what they do daily for some things. It is such a help.
Her allergies could become worse or fade as she grows, no one can tell now and people talk about false tests results. Better safe then sorry. If she has a reaction Benadryl is the best thing to give her (it always works so fast for my son) My sons allergies to peanuts and dog siliva are mild, but I have been told they can get worse. I carry Benadryl everywhere.
Again, these are very common allergies and are just something you have to be on top of. Good Luck and start reading up and talking to others.