Prepare the crust by mixing gluten-free chocolate cookie crumbs with melted butter and pressing into a 9-inch springform pan. Chill for 15 minutes.
Make the chocolate filling by beating softened cream cheese until smooth, then gradually adding powdered sugar. Set aside.
Whip heavy cream with vanilla extract until soft peaks form, then gently fold into the cream cheese mixture.
Fold in melted chocolate until evenly distributed, then pour the filling over the chilled crust and smooth the top.
Cover with plastic wrap and chill in the refrigerator for at least 4 hours or overnight.
Once set, remove from the springform pan, slice, and serve.