You may also see little black dots in the warts, which are bits of coagulated blood. If the spots don't look like this, or grow progressively larger and more tender, your daughter could have foreign bodies, like splinters, lodged under her skin. Doctors put acid on warts, freeze them off, or use an electric spark to burn them. But the best approach, especially in young people, is healing by suggestion. That would be my treatment of choice.
Children are especially good at visualizing the disappearance of warts.
You can go to a visualization or guided imagery therapist for help, but I'd give it a try on my own first. Work with your daughter to come up with an image that has an emotional charge for her. I'll often suggest surrounding the wart with white light for a few minutes each day, on going to bed and again on waking. One man I know got rid of a troublesome wart by imagining a steam shovel scraping away at it morning and night. Maybe your daughter will want to imagine applying some of her martial arts techniques to the intruder.