Here is an article regarding your question. While they speak mainly of plant pollens, the allergic reaction process might behave the same with pet dander. As you mentioned, I don't think it would hurt and could possibly help.

I suggest you google: CBD and Allergies to find more information.
http://www.cbd-texas.com/learn/allergies/

I use both tincture and vape, but I enjoy the vaping the most. Vanilla is very yummy. Sure hope it helps her so you can keep your furry friends. If you try it, please report back on your results.