My daughter was diagnosed with kawasaki disease her hands and feet are now peeling and itching when will the itching and peeling stop?

Few days. Peeling around fingers and toes is expected after kawasaki. Usually lasts for few days. Try moisturizers.
Not biggest worry. Did she get ivig? Did the fever break? Is she on aspirin? The peeling skin will typically subside in a couple days. It's not a major concern. Did she get an echocardiogram? Was it normal? That piece is the most important because that is the key complication of kawasaki disease.