If custom white balance isn't an option, at the very least start setting your presets for the lighting that you're shooting in. In this case, the Shade preset (little, house-looking symbol) would have been a bit more appropriate and would have giving you a more "warm" image, so she wouldn't appear quite so blue. Just remember that the white balance needs to be set for the light that is falling on your subject, regardless of where you are standing.
Also, there is definitely a very slight green tint, as NavyDoc noted. Neither are difficult to fix, though, as shown in the above edits.