Heat butter in heavy pot.
Add flour and cook slowly for 3 minutes.
(Do not brown roux.) Add fish stock and whip vigorously for 1 minute, then simmer for 1/2 hour.
Stir occasionally. Next, add trout, shrimp and egg yolks, mix with cream and beat vigorously for 4 minutes.
Add Chablis and beat 1 more minute.
Refrigerate at least 1/2 hour.
* New Orleans "speckled trout" are brackish salt water fish, a member of the weakfish family, a sweet semi-firm fleshed fish.
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