See even doing something as seemingly harmless as say warning Star Fleet about the planet killer from "The Doomsday Machine" thus saving the crew of the Constellation from there original destiny (death) could have dire consequences. For example a member of the now alive crew could become a federation diplomat. Unfortunately during peace talks with the Klingons they accidentally offend the Klingon high chancellor's maternal ancestor... leading to interstellar war. In short you cannot predict what changes might occur as a result of reveling future events to people.
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