Are the rights of the husband's sister more deserving of priority than the rights of his wife, and if so, how?

Both the wife and the sister have a right over a man. The wife's right to maintenance takes precedence over the sister's and other relatives' rights because the wife's maintenance is a form of compensation, thus it precedes the comforting of relatives. However, regarding matters other than maintenance, showing kindness to the sister is more emphasized than showing kindness to the wife, due to her position as a blood relative.