The Disability Act applies regardless of whether child is statemented or not: all you need is to be able to show that she is genuinely disadvantage due to disability= not able to do what her peers can do.
However, what the Disability Act requires the school to do is to make "reasonable adjustment" to enable your dd to attend. The school may argue that taking on a situation where your dd risks serious injury or her classmates risk having their studies/exams disrupted is not reasonable adjustment. At this stage, the LEA may have to look at other arrangements for your dd in whatever is judged safest and best. This could involve home tutoring or tutoring in a school with special resources.
Remember, it's the LEA that has a responsibility to educate your dd, not the individual school.
I have a ds who is frequently unable to sit up due to hip trouble. The school has not got the resources to let her be taught in her usual classroom while lying down; it just isn't feasible. So as far as she is concerned, reasonable adjustment from the school means a more modest goal of making sure she is enabled to work at home when unable to attend school. If the situation was a bit more regular the LEA would probably be looking at a home tutor. Dd's right is to an education, not to an education in her preferred school.
She also wasn't able to go to the same secondary as most of her friends as that was not wheelchair adapted: again, reasonable adjustment meant finding a way (in this case another school) of her accessing an education, not ensuring that she could do it in any one particular place.