Ugh, whining!!! lol (I'm known to be a whiner too sometimes LOL)
I do the same as you....remind her that I can't understand whining and she needs to use her big girl words. If it gets really bad, I have told them they need to sit in the hall until they are ready to stop whining. That probably sounds mean...
That's not mean.... I have a whiner here, and she gets the same treatment. She goes and sits at the gate at the bottom of the stairs until shes finished and then she's welcome to come back to the group.