There is a fair amount of stuff in Paul's first letter to Timothy that talks about who should be leaders in the church, as in deacons or elders. They should be

There is a fair amount of stuff in Paul's first letter to Timothy that talks about who should be leaders in the church, as in deacons or elders. They should be people above reproach and so on. You can interpret this directive or similar to mean that only the oh-so-holy are the public face of the church. The forgiveness of Peter at the end of John's gospel might be another case. I don't think it's a good interpretation, but it's not so far from the truth. It could really depend on the group and the church. At least for me, the two things most likely to launch me into ministry (used broadly) are discipleship and small groups. And it could depend on the church's stance toward the culture and the world. There are many possible positions, as in Niebuhr's "Christ and Culture". If you believe the pop culture is full of filth and you are called to be outside of it, you will get a very different sense of the church's mission toward non-Christian people, or even toward Christians who are closer to the pop culture. (edit: took an extra h out of Niebuhr)