Process the cheese in a food processor until smooth (it doesn't have to be completely smooth, a couple of small lumps are fine). Alternatively, you can put the cheese two times through a meat grinder (use a plate with small holes).
Separate the eggs into egg yolks and egg whites. Make sure there is no egg yolk in the egg whites or you won't be able to beat them properly.
Beat the egg yolks with soft butter, 1/2 of the sugar, and orange zest until combined. Use an electric mixer or a stand mixer fitted with a whisk attachment.
Add the cheese and vanilla extract, beat until combined.
In a separate, very large and clean bowl, beat the egg whites (with a clean whisk attachment) until soft peaks form. Slowly add the remaining sugar and beat the egg whites until stiff. Add the corn starch and beat until combined.
Add about 1/4 of the beaten egg whites to the cheese batter, fold in with a spatula until combined.
Add the cheese batter to the remaining egg whites. Fold in gently with a spatula until combined and there are no white strikes of egg whites.