Will she be rewarded by Allah for her patience, despite her occasional outbursts at her husband who forces her to share her entire salary with him, even though he knows he is capable of providing, and he does not pray and is far from the teachings of the religion?

A man must spend on his wife and children, even if the wife is wealthy. He cannot compel her to spend from her private funds. It is preferable for the wife to help her husband with household expenses, as there is virtue and reward in it, and it leads to earning the husband's satisfaction. Furthermore, the wife should assist her righteous husband in every way she can, and she will be rewarded for charity and kinship, while being careful not to boast so that her reward is not nullified. As for dealing with a husband who abandons prayer, that has a different ruling.