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1
Finely zest the orange (you should have about 1 tablespoon); set aside.
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2
Slice 1/4 inch off the top and bottom of the orange and set it flat on a work surface.
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3
Using a paring knife, follow the curve of the orange and slice off any remaining peel and white pith.
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4
Working over a small bowl, slice between the membranes to release the segments or supremes.
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5
(Chef Michael Symon demonstrates .)
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6
Cover and refrigerate until ready to serve.
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7
Place the water and sugar in a small saucepan over high heat and bring to a simmer, stirring until the sugar dissolves.
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8
Remove from the heat and stir in the lemon zest, orange zest, and lemon juice.
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9
Let sit at room temperature until the flavors infuse, about 30 minutes.
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10
Strain the mixture through a fine-mesh strainer into a 13-by-9-inch dish and discard the contents of the strainer.
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11
Freeze the mixture uncovered until just starting to set but not frozen completely, about 1 hour.
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12
Using the tines of a fork, rake through the mixture to break up any large chunks.
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13
Return to the freezer and rake again when thoroughly set, about 1 hour more.
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14
Transfer the lemon ice to a container with a tightfitting lid and store in the freezer for up to 2 weeks.
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15
When ready to serve, place the egg whites in a very clean medium bowl and whisk until stiff peaks form, about 3 minutes; set aside.
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16
Transfer the lemon ice to a large bowl.
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17
Drizzle in the champagne and rhum agricole and stir gently to combine.
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18
Divide among 8 (1/2-cup) glasses.
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19
Divide the whipped egg whites over the lemon ice and top each serving with an orange segment.
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20
Serve immediately.