Definitely a real word.

Ｖ Ｓ Ａ Ｕ Ｃ Ｅ
Ｓ Ａ Ｌ Ｍ Ｏ Ｎ
Ａ Ｌ Ｔ Ａ Ｒ Ｓ
Ｕ Ｍ Ａ Ｇ Ｎ Ｕ
Ｃ Ｏ Ｒ Ｎ Ｅ Ｒ
Ｅ Ｎ Ｓ Ｕ Ｒ Ｅ

Anatidaephobia is defined as a pervasive, irrational fear that one is being watched by a duck. The anatidaephobic individual fears that no matter where they are or what they are doing, a duck watches.

Anatidaephobia is derived from the Greek word "anatidae", meaning ducks, geese or swans and "phobos" meaning fear.