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1
For topping: Rinse and dry orange. With a sharp knife, slice into thin rounds (between 1/8 and 1/16 in. thick; see Notes), discarding ends and seeds. In a deep 10-in. frying pan or pot over medium-high heat, stir sugar, 3/4 cup water, and lemon juice until sugar is dissolved. Add orange slices and bring to a simmer. Cover and simmer 5 minutes. Uncover and simmer gently, keeping slices in a single layer and turning occasionally, until they're slightly candied and translucent and liquid has the consistency of a thin syrup, about 20 minutes (there should be about 1/2 cup liquid in pan; if less, add enough hot water to make that amount and shake pan to mix water into syrup). Let cool in pan. Cover and chill at least 15 minutes and up to 2 days.
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2
For cheesecake: Preheat oven to 300u00b0. Pour graham cracker crumbs into a 9-in. cheesecake pan with removable rim; add butter and mix. Press mixture evenly over bottom and 1/2 in. up sides of pan.
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3
In a large bowl, with a mixer on medium speed, beat cream cheese and sugar until smooth. Add eggs 1 at a time, beating after each addition. Beat in flour, sour cream, and liqueur just until incorporated. Pour into crust-lined pan.
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4
Bake until center barely jiggles when cake is gently shaken, 60 to 70 minutes. Run a thin-bladed knife between cake and pan rim. Cool completely at room temperature, then cover and chill until cold, at least 3 hours or up to 2 days.
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5
Remove pan rim. If any moisture collects on top of cake, gently blot dry. Gently lift candied orange slices from syrup, reserving syrup, and blot dry with a paper towel. Arrange slices, slightly overlapping, over top of cheesecake.
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6
Measure orange juice. Bring reserved syrup to a boil over high heat. Stir occasionally until syrup is deep golden brown, 1 to 3 minutes. Remove from heat and carefully stir in orange juice (mixture will bubble up). Let cool to room temperature and generously brush over orange slices (you may have extra syrup).
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7
Serve cheesecake, or cover and refrigerate up to 2 days. Use a serrated knife to cut cake, wiping blade clean after each slice.
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8
Note: Nutritional analysis is per slice.