Liquid damage is usually fatal! Because most of the components are NOT hermetically sealed, they will absorb liquid, like a sponge in some cases, thus causing an internal short. Because the distance inside of components between plus and minus (not to mention I/O lines) is a fraction of a Micron (0.00000XX inches) and it only takes a few liquid molecules to cause a short. On rare occasions, the internals of a Microchip dry, they sometimes start working again, but with the newer smaller technologies, this happens less and less. This is a down side to packing everything into a single chip. To compound the matters, MILK?

De-ionized/distilled water is sometimes used in the cleaning process of electronics with today’s water soluble fluxes. But they are free from minerals that cause the majority of the problems, on the other hand, milk is FORTIFIED with vitamins and minerals. To compound the matters even further, the unit was turned on when it happened.
Unless you took immediate action and had the proper facilities to clean the board using an immersion process to remove the milk, the prognosis is probably TOAST!

But on the upside, if it has already had time to dry (Chips can take days even if they are dry on the outside), it is not a total loss.