In the modern world, I think that it might be advantageous for a girl to be born introverted. I am not sure that it was always this way. Consider my Aunt. She was married for 70 years. She had a very extroverted outgoing gracious manner that everyone appreciated. If raised in the modern times, a woman like her would still be extroverted, but other behaviors than the ones she was raised with might develop.
These days extroverted women are often loud, assertive, “fun”, etc. These might all be good for procuring ONSes and the like, but they are not the attributes of a female that a discerning fella would want to marry.
On the other hand, introverted girls ideally won’t develop these behaviors, or maybe less of them. That would be the hope. At least they would not so obviously display them. This might work out for them, all for luck of being born introverted.