You won't know until you try it. There are a lot of threads on here along the lines of "what if I breed my white bird to xxx?" and there is no one-size-fits-all answer. It depends on if your white is recessive or dominant, hom or het, and what her parentage is.
I suspect my white cochin to be het dom white because she is leaking some blue. She had a lovechild with a lavender silkie, and the baby is black.
A good idea, when you do breed them, is to post what you get, and invite others to do the same! Then we can all have fun determining the hidden background of the white parent. Or maybe I'll start a thread, as soon as I get a new camera.