Is it permissible to work in a private insurance company given the need for work, as the questioner is divorced and has a daughter, especially since the demands of life are costly and society shows no mercy?

It is impermissible to work in commercial insurance companies because it falls under cooperating in sin, unless the situation reaches a state of dire necessity. In such a case, it is permissible to work until a permissible job is found. However, if the company is Islamic or cooperative and adheres to Sharia (definition) guidelines, then working for it is permissible, provided the Sharia guidelines for women's work are met. It is necessary to investigate the nature of the company's insurance system before working there.