Prepare the crust by mixing gluten-free chocolate cookie crumbs with melted butter and pressing into a 9-inch springform pan. Bake at 325°F for 10 minutes and let cool.
Make the cheesecake filling by beating softened cream cheese until smooth, then gradually adding sugar, vanilla, and eggs one at a time. Mix in sour cream, orange zest, orange juice, and melted chocolate until combined.
Pour the cheesecake filling over the cooled crust and smooth the top. Bake for 50-60 minutes until edges are set and center is slightly jiggly.
Cool the cheesecake in the oven with the door cracked for 1 hour, then refrigerate for at least 4 hours or overnight.