Preheat your oven to 350°F (175°C). Grease and flour a 9-inch round baking pan.
In a mixing bowl, whisk together the flour, sugar, shredded coconut, baking powder, baking soda, and salt.
In another bowl, beat the softened butter until creamy. Add the eggs one at a time, beating well after each addition. Mix in the vanilla extract.
Gradually add the dry ingredients to the wet ingredients, alternating with the coconut milk. Stir in the lemon juice and zest.
Pour the batter into the prepared baking pan. Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.