Is it unlawful not to say “Bismillahi ar-Rahmani ar-Rahim” (In the name of Allah, the Most Gracious, the Most Merciful) when teaching Quranic verses in a reading class, given that the non-Muslim administration requested it and Muslim students were advised to say it silently?

It is not permissible for Muslim women to study in schools supervised by Christians, except in cases of dire necessity, such as the absence of other schools. It is forbidden for a Muslim woman to work as a teacher in a school run by disbelievers if there is an available permissible work opportunity, but it is permitted for her in cases of dire necessity. There is no harm in omitting the Basmala before reciting a verse in a lesson, as it is not obligatory before it.