A website doesn't need a data centre. Small static pages, compressed images and a low-power computer can serve a site from home on a few watts, and some sites run entirely on solar power. These guides cover how to build sites like that and what you give up in return, such as the site going offline when the battery runs out.
How to build a low-tech website
Build a small static website that runs on a single-board computer and even solar power: page weight, dithered images, fonts, nginx caching and power planning.