After seeing the answer to the whole 'What Happened to Coulson' issue, it raises a question: If the Clairvoyant really is able to just look into people's heads and see what they're up to, and knows everything that S.H.I.E.L.D. is up to, then it should have already known what happened to Coulson. I mean, it goes 'Oh, that guy who was dead isn't dead, I want to know why', and then the next logical step should be to look into Nick Fury's head, and gradually progress through all SHIELD personnel until you get an answer. Which, given the explanation we have, should have worked.
So either a) the Clairvoyant isn't actually clairvoyant, b) it can't read Fury and the doctors because of countermeasures or power limitations, c) it was trying to achieve some other aim with Coulson, or d) there's a big damn plot hole.