I would consider myself to be quite introverted as well. However, when I get to know people and they get to know me, then I find myself to be comfortable in a more social setting, provided that the people there are people I know. In church, the people who know me know to leave me alone, not because I am uninterested in them, but because there my desire is to set myself before the Lord's presence, while acknowledging at the same time, that we are all doing the same thing. Such is the very definition and essence of the word Liturgy.
The Orthodox Church knows that no one is saved alone. One can condemn himself all by himself; no one else can do that. But we are saved together through our oneness in Christ and that includes introverts and extroverts alike.
If we liken introversion as a spiritual gift such as detachment and exile (as St. John Climacus describes them in his work, The Ladder of Divine Ascent), then there is nothing inherently wrong with it. But, as has already been pointed out, if our spiritual conduct is only done with ourselves in mind, either because of fear of others or simply not liking others, then we became self-absorbed and exile ourselves not only from the world but also from the Kingdom.
I think we also need to differentiate clearly between loneliness and introversion. An introverted person is not a loner, necessarily, though to many people, it comes off that way. As I have said, I am introverted, but I am comfortable in certain social situations, though for most of my week, as I live alone, I do not have a great deal of interaction with others save for over the computer or on the phone. Loneliness is a problem precisely because loneliness is isolation even from God.
Who knows? You may very well find your giftings to be perfectly suited to the angelic life of monks. Perhaps that is something you should look into. But unless you decide to live as a hermit in the desert, even among the brotherhood you will still be interactive. Granted it won't be a "chatty" kind of interaction, but, especially in prayer, you will all be together in service to God. Just mho.