Praise be to Allaah.
If the situation in the university is as you describe, then it is not permissible for her to study in that place or to go there. One of the well-known basic principles of shareeah is that there is no obedience to any created being if it involves disobedience to the Creator. She should not obey her mother in this instance. She should try to convince her mother that it is haraam, by explaining to her gently and politely, as Allaah says (interpretation of the meaning):
But if they [parents] strive with you to make you join in worship with Me others of which you have no knowledge, then obey them not, but behave with them in the world kindly [Luqmaan 31:15].
If the mother does not accept this, it is still not permissible for the daughter to obey her and there will be no sin on her for that, in sha Allaah.
But there is another important point we must make here:
It is not permissible for you to talk to this girl or to sit with her before marriage. The Prophet said: Beware of entering upon women and No man is alone with a woman, but the Shaytaan is the third one present. So beware of doing that.
As for your travelling to settle in a Muslim country: look for a land where you can openly practise the rituals of Islam and where you will feel safe to practise your religion and not feel in any danger, where the environment will help you to worship your Lord properly and where there is less fitnah (temptation). Allaah is the source of help and He is the Guide, there is no god besides Him.