There are many ways in which you can make money with WordPress. Creating a website for the purposes of promoting a business or selling goods through an online store is one such way. Monetizing a blog with display ads is another. While there are other ways in which you can use your WordPress site to make money, perhaps one of the easiest ones to get started with is affiliate marketing.
I recognize that the list above is short; however, that’s because Amazon affiliate marketing really doesn’t require a specialized theme in order for it to work well (unless it’s one of the unique cases noted in the themes above). Instead, you’re better off using WooCommerce if you want to build a full affiliate store or simply stick to the WordPress theme you currently have and add affiliate plugins to the mix.