There are introverts who have done just fine in life. Bill Gates comes to mind. I was an introvert growing up in a family of extroverts and was perfectly happy reading books in my room or playing with barbies. I always had friends and did well in school. The really hard thing for me was my parents thinking something was wrong with me and trying to force me to be an extrovert. It was excruciating and did more damage than good.

Your daughter has many wonderful qualities and something special that only she in her introverted way can contribute to the world. I agree with you talking with her about introverts and extroverts because what you're saying is somewhat correct but let her do her with all due respect.