All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
First of all, may Allaah reward you and protect you and your religion and enable you to perform more good deeds.
We advise you to be patient as patience is the key for every good. Many religious texts were mentioned about the excellence of patience and we mentioned some of it in Fatwa 83577.
You should be keen on admonishing your parents and reminding them of Allaah in a nice and gentle manner and you should choose a suitable time for doing so. You should supplicate Allaah as much as possible to guide them as He might guide them thanks to you. It is confirmed that the Prophet said: “If Allaah guides one single man (to Islam) by your efforts, that will be better for you than possessing an abundant number of red camels (a very expensive breed of camels).” [Al-Bukhari and Muslim]
As regards migration, it is a good thing and this is something religiously required. But where would you go while your parents reside in your non-Muslim country? With whom would you live in a Muslim country to which you will migrate? Therefore, we advise you to look for a pious husband who would help you in this matter of migration or at least to take you away from your home and he would help you in your religious matters. It should be noted that it is permissible for a woman to propose marriage to men provided she observes the religious conditions; for more benefit, please refer to Fatwa 82471. You may also seek the help of some pious Muslim sisters in this regard.
According to the most preponderant opinion of the scholars, may Allaah
have mercy upon them, it is an obligation upon a woman to cover her face as clarified in Fatawa 83033. Therefore, you are obliged to observe Niqaab (face covering) even if your mother refuses it as there is no obedience to a creature in disobeying the Creator. However, if you fear a real harm or you predominantly think to have a real harm, then you may reveal your face but you should go out only when necessary.
As regards studying in mixed universities, this is not permissible and you should endeavour to find a way for distant learning in order to avoid this mixing. Nonetheless, if you cannot find a way for this, and you are in a dire necessity to do these studies, then it is permissible for you to continue doing it but you should only go to the university when needed, but when your necessity does no longer exist, like by getting married for instance, you are obliged to stop these studies immediately.
Allaah Knows best.