She went into their private club so she has to obey their private club rules.
Sorry, that's how it works. And she did. So good on her for sitting off to the side while the men prayed. 😄
You don't walk into another person's house and tell them they can stick their house rules up their ass.
If she invited them to her private club, and she had a rule that all the men had to stand on their right foot the entire time, if they accepted her rules, they could enter her club.