I think some people may have misinterpreted what you were saying here. I don't think you don't want to take her to the bathroom, rather sometimes when she REALLY needs to go, she needs to go straight to the bathroom, then call for you once she's on the potty. I see nothing wrong with encouraging that.
My daughter had a few accidents because she was playing and didn't think about it or didn't realize until there wasn't enough time to get to the potty.
Rewards are great, but I would also suggest scheduling potty breaks. Even a few with her going by herself with you nearby. That may give her the confidence she needs to routinely go straight to the potty instead of feeling the need to wait for you. I would say every hour and a half to two hours prompt her to take a potty break even if she doesn't feel she needs to go. I have a feeling this might be what they do at her pre-school. You can take her, then sometimes she can go on her own.
Good luck. Let us know how things turn out.