Preheat the oven to 340F or 170C.
In a bowl, add the butter and sweetener. Beat at medium high speed with a handheld or stand mixer until light and fluffy.
Add the eggs one at a time and whisk to combine.
Add the vanilla extract and whisk to combine.
Add the flour, salt, baking powder and whisk to combine. Switch to a spatula and mix thoroughly until thick and smooth.
Add the shredded cheese and mix until well combined.
Roughly line an 8 inch (or 20 cm) round pan with parchment paper for a rustic look. This also makes it easier to handle the grease. You can also use any other suitable pan but do not use too small and narrow pan as it will be more difficult to cook the cake properly.
Scoop the batter into the pan and spread evenly.
Bake for 40 to 50 minutes or until cooked. Test with a wooden skewer. If the top of the cake is browning too fast, cover with foil.
Let cool then remove the cake from the pan.