My white dog has just been to the vets and they put the orange stains in her eyes.

She has a photo shoot tomorrow and she has orange dye all around her face and eyes.

I don't want to put shampoo or anything on it,  does anyone know any other way to get rid of them?

Touch up as best you can with hot water and  cotton buds. Most photograhers can touch them up anyway :-)

You could use the old white chalk trick, it has been (secretly..... or not :-)  ) used in the show world for years.

It will certainly work as a touch up, but as Blue says photographic touch ups may well suffice, perhaps you could have a word with your photograher before hand.

What a shame for it to happen just before a shoot.