Even your profile picture is handled with care at Plausible. 
We use Gravatar (a service that allows you to have the same profile picture on many sites).
When your profile picture is requested, we send that request through a proxy. This means your personal data is never exposed to Gravatar.
Your IP address, user agent, and referrer header are never sent to any third parties.
We have baked privacy into every little part of Plausible.