The short answer is yes you do.
And the “why of it all” is in the video below.
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Firstly, you must comply with GDPR if you have a website.
The short answer is yes you do – you need to comply if there are users of your website that reside in the EU – and you do not have control over who goes onto your website even if you don’t sell to the EU or ship items to the EU.
This thing is that most business owners and particularly solopreneurs are very active and present in online spaces particularly Facebook business groups.
These groups are populated by people from all over the world including the EU because most business groups are interest or issue based. Geographical location is not a criterion for joining.