2 definitions
The Shroud of Turin (n.) proven authentic would horrify every true believer, since the first step would be a DNA test settling who Jesus's father was, while a fundamentalist would rejoice.
The Shroud of Turin (n.) may be more troubling to the Church if it is authentic than if it is fake, because positivist verification would strip belief of a charisma that thrives only between outright falsity and positive truth.