What is the ruling on working in an institution or company belonging to a disbelieving state that harms Muslims, if the worker is a divorced woman with five young sons?

Working for all companies in a disbelieving state that harms Muslims is not forbidden. Rather, the prohibition is limited to companies that directly inflict harm or assist in waging war against Muslims. Other than that, working in a permissible field far from harming Muslims is not objectionable, because trading in permissible things with disbelievers is permissible according to the majority of scholars.