badgerhead - your daughter would learn far more life skills being home educated, than she currently does at school IMO.
Home educated children are not sheltered from society - it is exactly the opposite, as they live in society on a day to day basis.
There seems to be a widespread misconception that home educated children are educated only at home, and are somehow not exposed to social situations.
Home education is a far better social preparation for adult life than school IMO - unless you plan to spend your entire adult life in one building with a group of people who are almost exactly the same age as you!
In our experience, our children have met a far greater mix of people (children and adults) than they did when they were at school.
They went to a small village primary school, where all the children were white, came from relatively affluent homes, and a Landrover Discovery was viewed as the ultimate accessory!
Since they came out of school they have met so many different people, and been taught about so many different ways of life - practical learning that would simply not have been available to them in school.
Of course home educated children have to mix with people who they don't get on with, or who they would prefer not to be with, but they learn how to deal with it.
They do not, however, have to contend with bullying, which can only be a positive thing!
And socialising does not only take place between 9am and 3:30pm!
Our children go to lots of activities in the evenings and at the weekend.
I think the fact that you are a CM is a great thing to combine with home educating.
Your daughter is old enough to do most of her learning independently of you - you will most probably just have to facilitate how she does this, and provide advice and support for her when she needs it.
Bullying is very debilitating, so if you decide to HE, give her plenty of time and space to find her feet again.
Good luck and best wishes.