What can you do to help her to see the benefits of the independent school? Has she looked round? Do you know anyone with a child at the independent school that you could meet up with, so she can talk to that person about how great the school is? Can you compare the subjects offered at each school, and the extra-curricular opportunities? Is there someone else that she can trust, that might be willing to chat to her about the pros and cons of each option?
I have a couple of examples that are not quite the same (I have no experience of independent schools), but here goes…
A friend’s DD took the 11 plus and with little preparation got a good score that should get her a place in the local girls’ state grammar school, but she is a quiet type, and expressed a preference for her local (decent) comprehensive as most of her friends will be going there. Her mum, unsure what to do for the best, had a chat with her teacher, who also felt that a girls’ grammar would suit this child much better. He had a gentle chat with the girl about the differences between the ethos, intake and priorities of the two schools, and shared his view that a child with her personality and ability is likely to fit in better at the single sex grammar. Although she is still a little anxious about it, she is happier because she has heard it from her teacher as well, so she agreed to put the grammar as her first choice.
My brother is seven years younger than me. He recently told me that a key moment in his life was when the whole family came to drop me off at university. He saw it, thought ‘I want this’ and decided to work really hard at school. It really paid off for him - he did the best out of all of us.
I think that, if you really feel that the independent secondary school is the best option for your DD and for your family, you have time to help her to see the benefits to this opportunity, and also to reassure her that you will support her to maintain existing friendships as far as possible.
Ultimately though, she’s a child and you’re the parents, so it’s your decision.