If I had a child with green eye discharge along with green nose discharge I'm afraid the parents would get a phone call from me to immediately pick up their child. Clear running dishcarge means virus and green means bacterial and a visit to the doctor in my experience.

You should not put up with that kind of behaviour from the parents MammaMia! You deserve respect in your own home and when making business decisions according to your contract (at least this is spelled out in my contract). I always tell the parents that I'm here to protect ALL the children and they wouldn't want me to allow another child with a contagious problem into the daycare to infect THEIR child!