For most websites outside of the EU that is of no concern. For some reason every website that will never do business there seems to be concerned about the EU regulations. A large portion of the internet will never have to comply.
Again that is my point, most companies don't. The small amount that do will have to. There is a huge amount of companies that will never target Europe. They will never do business or have a presence there. The regulations are irrelevant for them.
I've noticed this persistent attitude that somehow eu regulations are globally applicable, in reality they are not.
A lot of the GDPR hysteria is from sites that are not located in Europe and do not target people from there (HENCE not subject to the regulation; which hasn't helped with all the BS "Unavailable for legal reasons" or similar knee-jerk reactions)
No, your local news site won't get fined by the EU