Is it permissible for a woman to work outside her home, as a teacher in a mixed public school, to help her husband meet the demands of living?

A woman is permitted to work outside her home if she adheres to the Sharia-compliant regulations and there is no intermingling with non-mahram men. However, if her work leads to mixing and intermingling, then it is not permissible due to the resulting harms and dangers. It is preferable for a woman to remain in her home unless she is in need of work.