Do you have someone more supportive you can talk to in your everyday life? Did they critique the marchers' message? A hundred years ago, opponents of women's suffrage portrayed the suffragettes as snaggle-toothed hags whose primary problem was that they hadn't found husbands. As a result, women tended to put more time and energy into their appearance than men.
Women in journalism, in sports and even in meteorology all face criticism of their appearance that is totally unrelated to their job descriptions. You will have successes that are not about how you look, and you will feel better about yourself.