Does Islamic law agree with the decision to fast and reduce food intake as a means of dealing with a mother earning money from selling alcohol, and how can the mother be advised to leave this work without anger, given the fear of not adhering to this decision?

You must continue to advise your mother gently and kindly to stop her from committing major sins. It is not permissible to benefit from her ill-gotten gains except out of necessity. It is disliked to benefit from it if it is mixed with lawful money and the person is not in need of it. It is advised for the girl to seek a righteous husband if she is of marriageable age, to help her in matters of her religion and to free her from her current environment.