Should my preschooler be done with naps?

My daughter is 3.5 and just recently stopped sleeping/napping well. She didn't nap for 4 days in a row then she took a nap yesterday and woke up at 5:30 in the morning today. of course today she was tired and has been asleep for 2 hrs. I know the transition to no naps is complicated but I don't know what to do with her. Should I just put her in her room for quiet time and not lay her down for a nap? Or should i try to push through and see if she will keep napping? Suggestions? Her bedtime is 8 pm and up untill this last week she would take anywhere from 1.5 to 2 hr nap.