Is it permissible to work for an electronic journalism application, knowing that my work is limited to responding to inquiries from writers, and that the application may contain inappropriate content such as pictures of female artists and videos of dancers, knowing that I do not review or publish these materials?

If the articles written by the authors deal with permissible matters, then your work is permissible and not forbidden due to the impermissible images or videos published on the application. However, if the articles contain reprehensible things, such as promoting deviant ideas that contradict the Law of Allah, or spreading vices and indecencies, then your work is not permissible due to its involvement in cooperating in wrongdoing.