phobophobia
noun
an irrational or disproportionate fear of developing or experiencing a phobia; anxiety about encountering a phobia trigger and experiencing panic or other phobia symptoms.
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
They have become phobophobic, fearfully preoccupied with fear itself.
From The Wall Street Journal ● Jan. 14, 2016