For those who believe sexism is defined by power asymmetry, let me present two scenarios:
You’re going for a job. You have 10 years relevant experience and the appropriate education and degrees. The field is relatively gender neutral with approximately a 50-50 split between men and women. You are competing against one other candidate; your competition has the same experience and education as you. Would you prefer to be treated as a man or a woman?
I doubt very many people are going to opt to be treated as a woman in this scenario. It is clearly an advantage to be treated as a man, all else being equal. But now let me present the second scenario:
You’ve been accused of a serious crime. You’re innocent but there’s some evidence implicating you. (Maybe you were even dumb enough to actually talk to the police.) Since you refuse a plea deal, you’re going to trial. Would you prefer to be treated as a man or a woman?
This scenario perhaps works even better in family court matters, but it’s overwhelmingly clear in either case which is better: To be treated as a woman in court is a massive advantage. Clearly sexism is a two-way street, even if more traffic flows in one direction than the other.