There is no problem with her natural hair coloring or lack of. What I am seeing on the original appears to be shadows from the rock and blossoms, only identifiable on close inspection, that are magnified by the processing and take on the blue coloration.. Masking her from the other adjustments would keep her appearing natural.
This is another approach I would try if I wanted to make them less prominent.
1. Many shadows can be made more manageable using the shadow reducing adjustment most editors have.
- More work but I've gotten good results if that doesn't work or takes too much out of other areas, something that will work lightening shadows on white fur at least..make two duplicate layers of the original. desaturate the second one, keeping the untouched duplicate layer on top, erase the shadowed area and the less intrusive desaturated area will take its place.