Preheat the oven to 350F or 175C and spray a loaf tin with oil.
Wrap the grated courgette in some paper kitchen towel or muslin and squeeze some of the liquid out.
IN a large bowl, mix the flour, baking powder, bicarbonate of soda and salt.
In a small bowl, mix the milk and vinegar together. It might curdle but it's supposed to! Mix in the melted butter and egg.
Add the wet ingredients to the dry and mix gently. Do not overmix as this will affect the rise.
Add the grated courgette and cheese and mix lightly until just combined.
Pour the mixture into the loaf tin and bake for 1 hour.
The bread is cooked when you can insert a toothpick and it comes out clean. If it starts to brown too much on top before it's fully cooked, you could cover it with a silicone mat or some foil for a few minutes.