Plastic is generally not considered a great option. While it won't break easily, its smooth texture can quickly turn rough and uneven, prone to absorbing food residues and odours. This in turn promotes the development of pathogens and your cat will refuse to use its feeder. As a matter of fact, many felines won't even accept using a new plastic bowl due to their unpleasant smell.
Wood is a porous material and therefore a bad option too, as its hygiene and disinfection are hard to achieve. It will also splinter over time and may harm your cat.