To doubt is a virtue. Isn't it?

I am not sure I wanted really to write about this but now it’s done.
I watched this movie: Doubt, a movie based on a Pulitzer Prize Winning Play.
It’s about a school in the Bronx, it talks about a nun who grows suspicious when a priest begins taking too much interest in the life of a young black student. The nun becomes convinced that the priest has, or is planning to have, an improper relationship with the child. At the end everyone is cleared out and the priest gets promoted. So doubts ruin lives.
To be a priest and to be pedophile are a contradiction in terms.