How do you care for an abandoned Cedar Waxwing fledgling?

I have a female in my tree she sleeps there and eats there, I do not see her parents at all I have been getting frozen mice from the pet store and warming them up NOT IN MICROWAVE but, in water, she eats from my hand, this is still a wild bird so I do limited intraction with her. I feel very lucky to have this moment in my life, I have been told that she will fly when she is ready.