Before you say, “well that’s obvious,” you should be aware that there is serious science behind the idea that the C-14 dating for the shroud is suspect due to contamination (see The DNA of God?: Newly Discovered Secrets of the Shroud of Turin; the author is a scientist who pioneered new techniques for detecting an organic bacterial coating that forms over time on ancient textiles — which would contaminate C-14 tests).
Here’s the new evidence. An art historian (Luciano Buso) claims to have found tell-tale signature clues that point to the Italian master Giotto as the creator of the image on the shroud. Giotto’s lifetime occurs well within the period in which the current C-14 dating places the shroud.