I'd say that men are trusted and respected more than women when it comes to their ability to act on their own, but certainly not when they express that they need help or are in danger or pain. Women's agency is certainly generally less respected, but so is men's vulnerability.
That said, just because we know women's agency is sometimes disregarded doesn't mean that we can carelessly make examples out of situations that don't seem to show that pattern at all. Yes, people are more likely to fail to take women seriously. It does not follow that people only criticized him because they mistook him for a woman.