Prepare Sweet Pie Pastry: In a medium bowl using a pastry blender or in a food processor fitted with a metal blade, mix flour and butter until crumbly. Add egg, sugar and wine; mix until dough is completely moistened. Place dough on a flat surface and work into a ball and divide in half. Wrap in waxed paper and refrigerate at least 1 hour. On a lightly floured surface, roll out 1 ball of dough to a 12 inch circle. Carefully place dough in a 10 inch round tart pan with a removable bottom. Prick bottom of pastry shell with a fork. Refrigerate pastry shell until ready to use.
Preheat oven to 375 degrees (190C). Place walnuts in a medium bowl. Add honey and rum; mix to blend. Spread walnut mixture evenly in pastry shell.
Roll out remaining ball of dough to a 10 inch circle. Place carefully over walnut filling. Pinch edges of top dough with bottom dough to seal. Brush surface with beaten egg. Prick top of pie in 5 or 6 places with a fork.
Bake 40 minutes or until crust is golden. Let stand at least 14 minutes before removing from pan and serving.
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