Logically Fallacious said

When fear, not based on evidence or reason, is being used as the primary motivator to get others to accept an idea, proposition, or conclusion.

Tip: Think in terms of probabilities, not possibilities.  Many things are possible, including a lion busting into your home at night and mauling you to death – but it is very, very improbable.  People who use fear to manipulate you, count on you to be irrational and emotional rather than reasonable and calculating.  Prove them wrong.

Appeal to Fear