Oh dear, that's a difficult one, pointe shoes can cause a lot of damage to toes and feet even for people who are trained to use them. I'm also not sure when you'd usually be allowed to start wearing them in a ballet class, I remember there being concen about girls who were young and still growing, in case it effect them, when I was young you needed to be in your early teens.
The pink satin ones sound lovely, I hope she will compromise, maybe get her a leotard and tootoo as well?
If you do a search you might find a local dance class, I know some of them can be super competitive but you may have a fun one near by. Good luck.