as a former perpetually late person, my suggestion is to just wake your daughter up at the time she needs to be up (1.5 hrs before leaving if nec) and let her be tired for a few days/week until she adjusts her bed time naturally.

I know it's a little tough love but I think if she is not capable of moving faster then you need to give her the time to do what she has to do. At the end of the day she can't have it all (ie late to bed and late to wake up) if she can't move fast.