I have been going through the same thing. My daughter was about your daughter's age when she decided to stop the nap thing. She went from 3 hour naps to 0. I decided to make a deal with her. As long as she was good and did not act up, I would not make her take a nap, but she would have to have quiet time in her room. She would read books or play quietly with her stuffed animals. Sometimes, she would fall asleep on her own. Other times, I would just tickle her back, and it would calm her to sleep.
Now, she recently turned 4, and she was having a hard time going to sleep at night because of fear. She would cry so hard, it was uncontrollable and frsutrating for us. She never had fear before, and always went to sleep at 7:30 with no problem. Again, I resorted to allowing her some extra quiet time with the light on in her room. Now, that it has become her decision to fall asleep, we have been having a much better time with sleeping.
I know every child is different, but find out what calms her most, and try it with her.
Good Luck.