...is she allergic to the point that if she comes in contact with traces of one of those foods, she could have a reaction
?

Not as yet. The girl has to ingest the allergens but IME it can go either way. She will either get over it in the next couple of years and nothing will change in the meantime, or quite soon they will get worse. If it gets to much worse, then for the safety of the child, I would have to let them go. Thats my number 1 priority that they are safe. When I first dealt with a child with allergies, I was nervous, but now I have routines and ways of doing things to prevent cross contamination and to reduce the risk of reaction.