Two is a bit early for dropping this nap. Three to 3.5 is more typical. It sounds like your daughter may need an earlier bedtime. An overtired child actually has a harder time falling asleep for naps, etc. An earlier bedtime generally does not lead to an earlier wake-up time. Our son started dropping his PM nap at 11 months. I called his pediatrician for a referral to a sleep expert. Best idea ever. I had been oversoothing my son prior to his nap. The expert's rules for me at naptime were as follows:
--Turn off the lights (you'll be able to see still because it's daytime.
--Put your child and one stuffed animal on your lap and read one (relatively short) book.
--No rocking, signing, or additional reading.
--Put your child and stuffed animal to bed saying that you love him/her, that it is time to rest, and that you'll be in the house the whole time.
--You can also say something like, "If you get a good rest, maybe we can do activity X when you get up." I generally skipped this step.
--Never tell your child that he/she has to sleep. Just ask the the child rest quietly. He/she is likely to fall asleep if he/she rests quietly. Kids seem to fight against the word sleep.
This process worked for me the first time I tried it. I was letting my son's adrenaline kick in while I was reading to him, rocking him, and signing a lullaby. Oops. My son did start protesting a bit when he got older, telling me that he wasn't tired. I would tell him that that was okay. The problem was that Monkey (his favorite stuffed animal) was very sleepy, and my son needed to rest quietly so that Monkey could sleep. That worked well for a long time. You should also consider picking up the book "Healthy Sleep Habits, Happy Child."
Oh -- also, is it possible that your daughter has her second year molars coming in or has something going on developmentally that could be disrupting her sleep?