Spelt Carrot Cake with a Lemon Cream Cheese Frosting

Name: Spelt Carrot Cake with a Lemon Cream Cheese Frosting
Cuisine: European
Ingredients: 125ml (½ cup) vegetable oil; 160g (¾ cup) sugar; 100g (3½ oz) grated carrots; 2 eggs (medium); 120g (1 cup) spelt flour (see note 1); 1 teaspoon baking powder; ½ teaspoon nutmeg; 1 teaspoon cinnamon; 55g (2 oz) cream cheese; 55g (2 oz) butter; 2 tbs fresh lemon juice; 1 teaspoon vanilla essence; 100-200g (1-1½ cups) icing/confectioners'/powdered sugar; Around 50g (¾ cup) icing sugar; a couple of drops of food colouring (see note 2); water (added a little at a time)