In a large bowl mix eggs, cheese, sugar and vanilla extract with a fork.
Add flour, baking powder, lemon zest and salt, stirring just until moistened.
In a deep pot heat oil to 375°F.
Drop batter by the tablespoonful, a few at a time, into the hot oil.
Fry until golden brown, about 2-3 minutes. Drain on paper towel.
Dust with confectioners sugar.
Serve warm with honey or jam.