Hi OP, your post reminded me that, a few years ago when clearing out some papers, my mum found and gave to me, a copy of the letter she had written to my school challenging my predicted A-level grade (more than 20 years ago).
My mum was a teacher, so knew her stuff. I’d had a couple of early mock papers at a B grade, and had been predicted a B. From what I remember, my mum’s argument rested on the data/trajectory - she basically said that, given my test scores throughout school, if they genuinely thought I was only going to get a B then they needed to think hard about what was going on with the teaching.
The tone of the letter was really respectful tho - saying she supported the school, and hadn’t told me she was writing because I would have been mortified (correct). I recall I was really upset about it at the time (had lots of other things going on in the background) but absolutely no way would I have dared challenge the teacher. Was nice to see, years later, that my mum had had my back - in a classy way, that didn’t make things awkward for me at school.
They did change my predicted grade - though i didn’t know why at the time (and I got an A in the end!).
If there’s anything I’d take from that is that it’s worth challenging, and might get a better outcome for your DD generally if you’re not too guns blazing?