How can a Muslim woman preserve her faith and not neglect her duties towards God, while being mindful of the feelings of people of other faiths, in a mixed-gender work environment that requires her to interact with men and women of different religions, given her urgent need for work?

The basic principle is that it is impermissible for a woman to work in a mixed-gender environment, except out of necessity and urgent need, provided she adheres to the hijab and Islamic manners and avoids men as much as possible. Justice must be maintained with people of other religions, without befriending or aligning with them.