Well, K., I would consider your request for advice as a sign that you already knew your daughter's bedtime is too late -- and I'd like to applaud you for that. Many people do not even admit to themselves that they need help, let alone ask a worldwide network of strangers for help. Your request was both courageous and necessary.
I've read many of the other moms' responses to your request, and I have much the same thought: 10:00 is too late a bedtime for a child that young, depending of course upon all those factors that were noted. And it is indeed correct that a child of that age should be getting upwards of 13 hours of sleep in a 24-hour period.
It's been a number of years since either of my boys was that age, but both of them have gone to bed no later than 8:00 their whole lives -- unless there is some kind of special event. Even my twelve-year-old still goes to bed at that time; but then, he has to get up at 5:45 in order to catch the bus at 6:30. (If he were to lay in bed awake for a while, I would consider allowing him to stay up later, but he still goes right to sleep!) I consider myself fortunate that neither of them ever put up much of a fuss about bedtime; we said "Bedtime", they went to sleep. However, I certainly empathize with your situation, as I have watched close friends struggle with your same issue but never ask for help.
I do have a chain of thoughts for you to ponder: Have you asked your daughter's daytime car provider about her sleep patterns there? Does she display the same stubbornness with them as she does with you? What if her daddy puts her to bed? Does the same thing happen?
If she's only displaying the anti-bedtime bahvior with you, then she may be "playing you", for lack of a better way to put it. She may sense that she can act that way because you feel like there's nothing you can do; she may be able to sense any guilt (or whatever emotion) you feel about not spending as much time with her as you think you should.
If that is the case, you need to work as hard as you can as quickly as you can to regain control of your household. You should be in charge, not your daughter. This will not be easy, and I can't imagine it being a very quick process either, but keep your patience, cry (privately) if you have to, and don't give up.
If, after a long-enough period of trying to get her to go to sleep earlier, you've had little success, you might consider consulting her pediatrician.
I wish you success in helping your daughter to overcome her bedtime woes.