A person suffering from many phobias

What is the term which can be used to describe a person who is suffering from many phobias? I searched about this on Google but found nothing useful.

The condition is called polyphobia:

An abnormal fear of many things; a condition marked by the presence of many phobias.

(The American Heritage® Stedman's Medical Dictionary)

The person suffering from polyphobia is polyphobic:

Many phobic individuals have more than one phobia and hence are polyphobic.

(The Encyclopedia of Phobias, Fears, and Anxieties, Third Edition, page 390)

multiphobic

A person suffering from a number of phobias.

https://en.wiktionary.org/wiki/multiphobic

While the other phrases are more clinically correct, if I were to discuss such a person in daily conversation, I might say that they are Neurotic, as in

The man was neurotic; Everything alarmed him to some degree. He spent most of his life trying to escape his fears.

'Fraidy-cat is more colloquial. It refers to a very fearful person, afraid of everything, easily startled.

http://idioms.thefreedictionary.com/fraidy+cat - also as suggested here, you might use coward.