Here’s an article that sums up perfectly what it means to be an introvert:
If you are comfortable with being introverted, please don’t feel like you need to be extroverted. As far as I can see, the only downside to being introverted is you miss out on some of the more popular things to do (go to bars, frat parties, do body shots) which are really only more popular because the people who support them are louder than us introverts. I wish there was some way fellow introverts could meet to let each other know that there are more of us out there.
I feel really bad for you because I think girls are more pressured to socialize than guys.