Cocklaphobia 

A Phobia or Fear of hats or headgear, perhaps what is under them, or of wearing them.

The opposite of this would be the love or fetish of hats kapelophile which likely stems from the French words chapeau, chapeaux, chapeaus, capel or chapel which originate from the Latin word cappellum "hood, hat", the diminutive of cappa "hooded cloak", which is also where cap pulls it's original meaning from.

Thus, you could extrapolate kapelophobia or chapeauphobia, chapeauphile could just as well be valid words.. if you are creative like that, and they sound a more appropriate than... cock-laphobia

We seem to be lacking good long fancy words for hat, which is a real shame. *tips hat*

His cocklaphobia meant that he preferred to use an umbrella.

Cocklaphobia by HD6 April 30, 2012

Cockaphobic 

A way of describing someone with an intense and persistent fear of the cock.

It is always worthy of word of the month everywhere.

Alexandra is cockaphobic.

Cockaphobic by The Ma'am March 12, 2010

cockophobe

One who has an unwarranted fear of the cock.

When she saw my enormous man-gland, my mom started screaming and ran out of the room. She was a cockophobe.

cockophobe by Jeff July 29, 2003

cockaphobia 

one afraid of the cock

heartie has a severe case of cockaphobia

cockaphobia by tre June 6, 2003

cockophobe

a tight bitch who dont like dick

Carter Foote dont like dick, because she is a rug mucher

cockophobe by P-diddy June 17, 2003

cockophobe

a prude ass bitch who is scared of the cock

Carter ain't nothin' but a cockophobe, she always be nervous around guys.

cockophobe by #1stunna May 31, 2003

cockaphobia 

Afraid of dick, possibly a lesbian

cockaphobia is the only way to describe Abby , seen more with girls than guys because of her cockaphobia

cockaphobia by george jones November 15, 2006