Finely mince the shallot. Zest the lemon, then juice it.
In a small saucepan, heat the white wine over medium heat and add the minced shallot.
Simmer the wine and shallots until the liquid has reduced by half, concentrating the flavor.
Reduce the heat to low, stir in the heavy cream, and cook for another 2-3 minutes, until slightly thickened.
Remove from the heat and gradually whisk in the cold butter cubes, one at a time, until the sauce is smooth and emulsified.
Stir in the lemon juice and lemon zest, then season with salt and freshly ground white pepper to taste.
Strain the sauce through a fine-mesh sieve for a smooth, silky texture.
Serve warm with fish dishes, steamed vegetables, or seafood.
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