Anatidae is the Latin name for the family of swimming birds -- ducks, geese, swans, etc. A little Latin +phobia will give you the fear of everything!

pantophobia - the fear of everything
nihilphobia - the fear of nothing
phobophobia - the fear of fear itself
deipnosophobia - a fear of dinner conversation
arachibutyrophobia - the fear of peanut butter sticking to the roof of your mouth