Yes a drawing salve, gauze and wraps are all useful items to keep on hand. I personally have the magnoplasm and medical honey. Good for human wounds too if you get a splinter.
I think be reassured by the fact that there is no redness/discolouration or swelling of her toes. That would indicate...
If you’re worried about there being an infection inside the swollen bit with only the tiny wound on the surface, you could try putting a drawing salve like magnoplasm, prid, epsom poultice or medical honey over the wound, cover with gauze and wrap. Probably in the evening so it has a chance to...