Answered by Shaykh Faraz Rabbani
Is it permissible for Muslim women to get their hair cut/styled by non-Muslim women?
This is not permitted in the Hanafi school, because the awra (nakedness) of a Muslim woman in front of non-Muslim women is the same as that in front of strange (non-mahram) men. That means that she cannot uncover her hair in front of them.
For details, and mention of a dispensation, see: (http://www.SunniPath.com)
And Allah alone gives success.