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Combine the flour, sugar, and salt in a bowl.
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Cut in the vegetable shortening until the mixture resembles coarse crumbs.
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With a fork stir in the sour cream and egg until a stiff dough forms.
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Cover and chill for a least 4 hours or overnight.
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Preheat the oven to 350 degrees F.
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Grease 2 baking sheets.
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Divide the dough into 3 pieces.
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On a floured surface, roll out each piece to an 11-inch round.
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Spread one-third of the apricot preserves evenly over each round, and sprinkle each round with one-third of the walnuts.
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Cut each round into 12 wedges.
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Starting at the wide end, roll up each wedge.
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Place seam side down on the prepared baking sheets, placing the cookies about 1-inch apart and curving the ends to form crescent shapes.
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Bake for 25 to 30 minutes, until lightly colored.
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Dust the warm cookies with powdered sugar and transfer to wire racks to cool.