Finely chop the onion and fresh dill.
In a medium saucepan, melt the butter over medium heat.
Add the chopped onion and sauté until translucent.
Pour in the white wine and cook until most of the wine has evaporated.
Add the heavy cream, lemon juice, and dill. Simmer over low heat for 5-7 minutes, or until the sauce has thickened to a creamy consistency.
Season with salt and pepper. Taste and adjust the seasoning as needed.
Serve the sauce warm with fish, vegetables, or pasta. It can be stored in an airtight container in the refrigerator for 2-3 days.
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