What should I do regarding my daughter's travel abroad for study or accepting marriage to a religious man, taking into account the mother's opposition to her departure, and emigration being a condition?

We believe that you should accept marriage to this religious man after performing الاستخارة (prayer for guidance), and not delay the marriage, because hastening it is something encouraged by Islamic law. Marriage, building a Muslim family, and raising children is the best role for a woman. As for your desire to travel for study, we do not see that as advisable, because marriage and raising children take precedence over study when there is a conflict, and a woman's place is in the home.