I think the roof of the shed needs a little thickness as it's way too thin and as mentioned aerlier by someone else the bump on the shed wall is not looking great, there seems to be no gaps between the planks because there is no depth between.
I think the reason people question the wood frame is because I for one have never seen a wooden frame on a fridge and can't imagine it to be strong enough to hold the metal interior and weight inside the fridge.
On plus note the render is getting there but you need an evironment dome to make use of the chrome since there is nothing to reflect but the grey background.