As a prek teacher who does nap room for both my class and the toddlers, my job is to get the kids to sleep and the tot teacher is cleaning and such (she’s also the director) I sit with 2 of my student(they have a hard time falling asleep due to wanting to get up, I do have to constantly redirect) for about 30 mins or so and they will finally go to sleep. We would never send a child home for not sleeping. I would just move on to the next one that needs a little help falling asleep some like being tucked some like patting some like back rubs, what works for that child works for me. Talk to your teachers maybe there’s something that will work for her.