What is the ruling on the salary the questioner receives from a company of which banks own 50% of its capital, and what is the ruling on what she has saved from it without her knowledge of the suspicion of unlawfulness?

There is no impediment to working for a company whose activity is permissible (halal), and the commingling of the company's funds between lawful and unlawful (haram) is of no consequence. Receiving wages for permissible work is Islamically permissible. Indeed, it has been made permissible for a Muslim to work for a wage for a non-Muslim, even though the wealth of non-Muslims often mixes lawful and unlawful sources.