to watch all the failed cases from gender critical activists now with a lot of money take up lawsuits against anyone they just dislike.
You can't just take someone to court and sue them because you dislike them, stop being silly. A court wouldn't accept or hear a case on that basis.
If employers, organisations or services don't want to be successfully sued by women for unlawful discrimination, the solution is pretty simple- don't unlawfully discriminate against women. Follow the law and you have nothing to worry about.