I consider myself an introvert, if you put me in a room with people I don’t do very well, I am not very talkative. Someone I don’t know walks up and talks to me, I can do just fine in a conversation, but I have a hard time starting any conversation with people I don’t know that well.
I have a very good friend who is a priest and he is also an introvert, similar to me, IMO. I remember when he was first assigned to pastor of our parish (he has since moved on) I was on the finance committee and had met and talked to him a couple of times because of that. We had a school event one night in the gym and most of the school parents were present. I was off to the side talking to a couple of friends, one of whom was on the finance committee. Up walked father to visit with us. It wasn’t afterwards that my wife told me she saw him come into the gym, look around, and not know what to do. He spotted us, a couple of people he knew and made a beeline for us. That’s a typical introvert. Now, he is a wonderful priest. If anyone calls him up for an appointment or just approaches him, he is always open and never comes across as awkward. But he has little ability (same as I) to start a random conversation with a stranger. It has no affect on him being a good priest.