I had super strict parents and even my dad got me a pair similar to these ( except they were black patent) at a similar age. Me too. I wasn't allowed to wear 'heels' until I was 15.
Thinking about DD (who is tallish, super slim with no sign of a curve yet), she'd just look like even more of a beanpole with the extra height of 3" heels (she's already got longer legs than many grown-up family members).
And this is an era when you rarely see any teenage girls (unless they're out on the town) in heels, so what's the attraction? I don't think it will make her look more grown-up but just slightly old-fashioned...