Why your 4 year old daughter has high temperature and cold hands and shivering?

The shivering and the cold hands are common findings with the high temperature. They body is trying to warm itself up. Just the same way you would if you are outside in the cold winter without a coat. You could try to see the doctor or call and ask. But if her fever isn't really high (over 103), keep her warm. The high fever is the body's way of trying to kill whatever "bug" she has.