Thanks for your kind message GreenandSpringy.
SavoyCabbage no I haven't appealed. I only submitted the in-year transfer on the first day of this term when dd found out out of the blue that she was the only child moved from her 'core class' of last year (maths, English, science, PSHE, PE, RE, so 3/4 of the timetable) to a class where the only two children she knows are friends with the bully.
She says that she could have coped with the school's inepitude about the bullying if she had friends and allies around her and was actually learning something, but being socially isolated in a class covering adjectives and adding fractions in Y10 just isn't tenable.
Even up until Friday, she did really believe that when push came to shove, the school that she's been in for three years would actually do the right thing by her. She knows how well other children have been supported by the school with bullying, friendship issues, medical problems etc etc and it's painful that there is no kindness coming her way.
Her brother is in Y8 at the school I've applied for, but they don't have a sibling policy. It's historically always undersubscribed (the council confirmed that they have places just before the summer holiday), but I do remember dd's year being a birth rate spike year when she went into reception.
It has quite a lot of 'churn' but as PeonyTime says, people generally don't want to move their child in Y10 (I certainly would prefer not to, I must say.)
Home schooling - yes in the very short term, but absolutely not long term. After lockdown etc, dd needs to be out there in the world interacting with other children and adults.
'Managed move or 'under the table' version of such - this is my hope. Her current school put in writing that they offer our full support with an in-year transfer (bizarre given that dd is a model pupil and has done nothing wrong, but there we go...) so I'm hoping that they have some sway on the LA in their desperation to get rid of her me.