It is probably her math skills that underpins her accomplishment, not Java or any particular language.  My kids are not as bright as your daugther and have limited time.  I would teach them math and human languages and if they find programming interesting, they would do it.

And don't forget, the fact that you are able to help her with Gauss practice exams and you worked with a global IT employer means you know how to teach her maths and CS.  You are far better than  school teachers.