Following the rule of three through even when it is past bed time

I have a 9yr old daughter, who can be very oppositional and stubborn. If she decides she doesn't want to do something she gets really mad and hits or says horrible words if we try to get her to do it. I have found the rule of three works well, but she often gets like this about something when she should be in bed and I was wondering is worth it to go through the rule of three and that can take awhile or leave it till the morning? The problem if I do go through with it is she ends up more tired and then doesn't want to get up on time in the morning.