Yes I see now I didn't get all the green out, but I can. I was just doing it in a hurry. Here's what I did:
-Duplicate the layer (always leave an original untouched version)
-Image>Auto Tone, Image>Auto Contrast
-Layer>Duplicate Layer
-Then on this dupe layer, I selected around the greenish area with the Lasso Tool.
-With the Magic Wand selected, choose "Refine Edge" from the menu above and feather it
-Edit>Copy>Paste
Now you have the greenish area by itself. I played around with Hue/Saturation to desaturate it, then used the Dodge Tool very lightly because the white area was darker than the rest of the image, then I used the Burn Tool lightly to darken the spots. I see now that there's still some greenish hue at the top, but my method can take care of it. At the end, merge the top two layers leaving the original bottom layer untouched in case you need to refer to it later.
Also, before I began, I did Edit>Auto Tone on the whole image and dodged abd sharpened the eyes a bit.
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