I actually don't think there is a specific name for a fear of high heels. I myself have a fear of Red High heels and haven't been able to find a scientific name for it as of yet.
From LOLA loud & red heels peach!
highheelophobia
The accepted phobia name for this condition is Aeroacrophobia.
There is no official phobia name for the fear of vipers. However the official phobia name for the fear of snakes is ophidiophobia.
There is no name for fear of olives, but lachanophobia is the fear of vegetables.
The name for the fear of trampolines is unclear, however, catapedaphobia is the fear of jumping from high and low places.
Hylephobia is the name of the phobia related to the fear of materialism
Ballistophobia is the name of the phobia related to the fear of missiles
Limnophobia is the name of the phobia associated with the fear of lakes
Traumatophobia is the name of the phobia relating to the fear of injury
Ideophobia is the name of the phobia relating to the fear of ideas
Patroiophobia is the name of the phobia relating to the fear of heredity
Phasmophobia is the name of the phobia relating to the fear of ghosts
Genuphobia is the name of the phobia relating to the fear of knees