Hello all, I look forward to your suggestions.

Here's the dilemma: a parent has requested that her just turned 3 yr old child be exempt from nap time due to issues at bedtime. I have 3 children full time and one part time. All kids go down at approximately 12:30pm till they wake up (anyone still sleeping gets woke up at 2:45 unless they are under 2 I will not wake them.)
I have tried not putting the child up for nap, each child has own room to rest with a playpen. I'm finding that the without the nap, the afternoon is difficult as I don't get a break & her behaviour deteriorates to the point of crying for no reason/not listening & being rough with the other. She is generally a well behaved child when she gets a rest. How to I break it gently to the parents that I will no longer keep her awake at nap time, that she must go to rest for at least 1 hour before I will go get her. Why do parents think that we should work 10 hours a day without a break only to deal with a tired cranky child for the entire afternoon. I also have a new 11 month old that has started & I have a hard time getting her to sleep especially if another child is running around. I've tried this for the past 4 days and it's not working, I don't want to loose the child but I have to think of everyone including myself.