Anatidaephobia
Anatidaephobia is the fear that a duck is watching you. The term was coined by Gary Larson, author of the comic The Far Side, who profited from ducks watching people. In these days of contextual advertising, the fear may be well-founded. Link to larger screenshot. Link to text article. -via Bits and Pieces
Anatidospectophobia would be nearer the mark, though that might mean fear of watching ducks rather than of ducks watching.
Reads like an Onion article. Just enough tongue-in-cheek that it doesn't sound right.