Mrsshears, as I have said before ds sounds very like your dd.
I have always thought, that as far as school goes, you will not change a teachers attitude. If the teacher says that your dd is bright, not gifted, then that is what she will be. Ime outstanding schools in nice middle class areas do have plenty of "bright" children, who have been enriched before they get to school. The teacher sees this, she thinks bright is gifted and vice versa. She is also subjected to lots of parents telling her that their child is super bright and attempting to interfere and micro manage their children's school life.. They are just not aware of children that fall outside that, in this case a child who is exceptionally/profoundly gifted.
These kids do not always work hard, achieve, comply and show what they can do. They are rude, they question everything, they talk nonsense and they manipulate the teacher and the situation to their own advantage. They muck about and tease the other children. They have odd interests and are not interested in pleasing the teacher. They could not care less. They are difficult, sometimes they are sensitive. They are unable to sit still, or stop from calling out the answer. They are domineering and arrogant.They are the class clown.. So the teacher marks them down as "average" or merely "bright". And a handful to boot. They are not the teacher's favourite child!
As we know very gifted kids are quirky, difficult, non compliant and in my ds's case, he almost talked a different language. We had an incident in reception when he was writing various maths terms and signs on his workbook and the teacher complained he was scribbling. She had never met a child like him, and, to her utmost relief, is unlikely to again.
I took ds out of the outstanding school and put him in one with a very diverse intake and high proportion of sen. They were far more flexible and prepared for him to work nearer his level, because they were used to looking at children holistically and as individuals.
I really would give it up as a bad loss and move on. The school will not change, and even if they did provide some kind of enrichment and extension, I suspect it would be with bad grace and would be picked up by your very perceptive dd. I would hate to see her love of learning spoilt by a teacher who did not enjoy her sense of wonder and quest for learning.
In lots of the research done I have seen the term "least worst option" and I have tried to find that.
Ds is currently in independent sector on full bursary. He is accelerated a few years and subject accelerated in strong subjects. He is working on maths at degree level according to the head who takes him one on one for maths. Interestingly, his teacher at the first school said he was ok at maths, nothing special, despite his very early interest in negative numbers, infinity and unusual number sequences like Fibonacci, how many rabbits breed from a pair in a given time and the perfect rectangle at age 5. Seems some teachers are really not familiar with gifted children at all.
Look around at the other schools, take your reports and also I would put together a portfolio of her best work if she is reluctant to "show what she can do"
Good luck and let us know what happens, feel free to pm me.