J.E.
I would do the gloves or mitts, especially when she's going a bit crazy with it. Our baby used to scratch when she was smaller, and the scratches are horrible to see, we had numerous sets of mitts. But at 9 months she may not like it. Diaper rashes can be part of teething, use vaseline as a protectant. Hope she cuts the teeth fast, I know the top ones seem to be really tough for my baby too, she has one more...