When you think of the qualities a leader or someone in a leadership position should have, being out-going is often mentioned. However, I don't think that always has to be the case. I've been a part of many different leadership opportunities and programs, yet I'm still the same socially awkward hermit I've always been. Being out-going and extroverted doesn't qualify someone to be a good leader, just like being shy and introverted makes you a bad one, it's about your skills.
When I went to a leadership program at a summer camp, I often heard that I didn't talk very much or I was too quiet and shy for a summer camp entertaining kids, I should have been more talkative. I'd also get a few counselors coming up to be that when they were in the same program I was in, they were also the same things I was and not to worry about it. Even now, I'm still quite and relatively shy person, but that doesn't discredit my ability to be a good leader, or anyone else's.
In my high school ASB (Associated Student Body) class, we took a fun personality test to find out what kind of leaders we were; someone who likes to be in charge, be in the spotlight, more organized, or stay in the background. I got someone who likes to be in the spotlight, which was a surprise to me too, but thinking about it, it makes sense. I'm not overly out-going, but given the right motivation, I don't mind going up to people and striking up a conversation.
I can also say that at some point I have possessed all four of these personalities or traits over the course of my different leadership roles. The reason I'm even bringing this personality test up is that it definitely shows that there are different types of leaders out there, and not all of them have to be extraverted. I tried to find the one I took but couldn't find the exact one, but if you're interested there are a ton of different ones out there.
Over time, I've learned and worked on many valuable skills, like conflict resolution, time management, actually listening to what others have to say, and more. I keep myself up to date with my surroundings and what's going on in the world, and I still meet and hang out with people, when I have time. People grow and learn on their own pace, we should let them without overly critiquing them.
In the end, whether someone is out-going or not shouldn't determine the ability they have to be a good leader, sure in some cases it's better to more extraverted, but it's not a make or break trait. So long as they have their mind in the right place and know how to handle different tasks and situations, it doesn't matter.