Is it permissible for a Muslim woman who recently converted, having grown up in a Christian family, and who has not yet worn the hijab due to difficult circumstances, to marry a Muslim man by resorting to a Muslim family to oversee her marriage and life?

Praise be to Allah for guiding you to Islam. Hijab is an obligation, so strive to wear it as much as you can, even outside the university. For the validity of a marriage contract, it is a condition that it be solemnized by the guardian of the Muslim woman. If he is not available, then by the Muslim judge. If he is not available, then by the imam of the Islamic center. If he is not available, then any Muslim man can marry her off. In summary, regarding your marriage, your guardianship will be handled by the director of the Islamic center or a prominent Muslim figure, and if that is not possible, then by a just Muslim man. Strive to observe hijab to the best of your ability, and Allah forgives what you are unable to do.