That's an interesting question. The law as it is currently written says that it:
does not apply to the processing of personal data by an individual in the course of a purely personal or household activity.
This blog is run by me - an individual. It is not published by a company, or other legal entity. Any money that I earn from it is part of my household finances. I am not a data controller.
I've turned off most external resources, and the site works if you reject cookies & 3rd party scripts. If you have suggestions for how I can do better, I'm happy to hear them.
As for your site - reduce the amount of personal data you collect. Don't include untrusted content. Respect your users.