“This feeling will pass. The fear is real but the danger is not.”
Source: Say What You Will
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From the Enchiridion (1640) of Francis Quarles.
Misattributed

Act III, scene 1, line 151.
Count Basil (1798)

Speech at the Opening of the Bandung Conference

“The only real prison is fear, and the only real freedom is freedom from fear.”

“Fear of danger is ten thousand times more terrifying than danger itself.”
Variant: Fear of danger is ten thousand times more terrifying than danger itself.
Source: Robinson Crusoe (1719), Ch. 11, Finds Print of Man's Foot on the Sand.

“A valiant mind no deadly danger fears;”
From Reason and Affection. First published in Paradyse of Dainty Devices (1576), revised in the 1596 edition. It is also known as "Being in Love he complaineth". Published by Grosart in Miscellanies of the Fuller Worthies' Library, Vol. IV (1872)
Poems
“There is danger in deep water, and danger is more real than beauty in a boy’s mind.”
Source: Gormenghast (1950), Chapter 50, section 2 (p. 661)