I have 2 DDs. Youngest going into yr8.
Those shoes are perfectly acceptable as a school shoe in the practical sense. However, imo they are too little girl (sad we/I think like that when we are talking about an 11yo) and will only set your DD uo to be a pisstake target.
I hate myself for saying it I really do. I am the first one to preach on about not giving into peer pressure etc etc but I personally hand on heart can say I would not send my DD now or last year to school in those shoes, and I do feel your pain with the high instep. (shoe shopping for us is hell on earth with little or no choice).
My DD who although going into Yr8 has literally just turned 12 wanted these www.startriteshoes.com/girls-shoes/angry-angels/impulsive-black-hi-shine-leather from Angry Angels and delighted that they actually fitted. She HAS to have lace ups mind and chose these over creepers as thats not a trend she is following. I dont think they do them any smaller which is a shame. This is DD2s first year of fitting into "teen" shoes.
The nearest similar style is the Burford on the Startrite website. I am not sure id lace ups are cool in schools where lace ups are not specified but have to say I usually have more success with lace ups and a high instep compared to other shoes because the lace up is adjustable.
A more grown up style of shoe with a strap in your DDs size is the celestial on the Startrite website.
You could check their returns policy (also look on Amazon) and order some in to see. I have in desperation in the past ordered shoes from Amazon. Somtimes there are other (old) startrite/clarks styles on there at cheaper prices. Its a hassle but you can return them if they dont fit.
Failing that I would suggest you try other shoe outfitters. I go to John Lewis because they have a range - although this year had nothing in my DDs size. And I also go to 3 independent shoe shops. I have to drive boody miles but I usually get success with one of them as they have old stock and vary styles.
Good luck - I hate the hell that is school shoe shopping.