Is it permissible for a woman to work in nursing to meet her needs and the needs of her family, provided she adheres to the hijab, given that her suitor stipulates that she not work?

A husband has the right to prevent his wife from working, as long as she did not stipulate the continuation of her work to him. If you are in urgent need of money to pay off your debts, then there is no blame upon you for rejecting the young man or for stipulating the continuation of your work. However, if you are in urgent need of marriage and fear falling into what is forbidden (haram), then marriage becomes obligatory upon you, so accept him.