She wants YOU to try to make her nap because it's fun to be with mommy and watch you pay attention to her. She fights the nap because this is her way of manipulating you.
So, put her in her room and require her to stay in there and not come out. If she doesn't sleep, then it has to be quiet time. It will be hard for a few days because she will continue to fight it, and you'll have to discipline more because she is tired, but when she figures out that you won't be manipulated anymore, and you are not allowing her to sleep later, she will start taking her nap again because she still needs it.
And, mom, if she really IS ready to drop that nap, you still need to impose quiet time on her. Make her adhere to it, no matter what.
Dawn