It won't be a disaster, it should be fine, it might be a little denser, but it should still work. However just looking at the recipe she is using a lot of raising agents, which suggests to me the cake is not supposed to be too dense so maybe it wouldn't be a good idea... I guess you could try it and see
Method
Preheat oven to 180?C. Grease and line a 25cm round cake pan with baking paper.
Sift flours, soda and spices into a large bowl. Add caster sugar, grated carrot and walnuts and stir to combine.
In a separate bowl, whisk oil, eggs, sour cream and vanilla until smooth.
Add to dry ingredients and stir until just combined. Pour into pan, smoothing top with a spatula. Bake in the oven for 2 hours or until a skewer inserted into the centre comes out clean. Stand for 20 minutes, then turn out onto a rack to cool.
For frosting, beat cream cheese using electric beaters until smooth. Add vanilla and beat well. Gradually add icing sugar, beating until smooth and creamy.
Split cooled cake into 2 layers. Spread bottom layer with half the frosting. Add top, then spread with remaining frosting.
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