Hi there, @todga,
Currently, Jetpack does not provide an option to remove the WordPress or Jetpack brand name or logo from the emails sent via the email subscription feature.
These emails include the WordPress/Jetpack branding by default, and the sender address is from donotreply@wordpress.com. Unfortunately, full removal or replacement of this branding is not supported directly within Jetpack settings at this time.
However, you can customise the sender name to your own brand or site name within the Jetpack Newsletter settings.
Additionally, adding a Gravatar for your site’s authors can help display a consistent brand image in the emails.
For complete branding control, some users opt to connect Jetpack with third-party email marketing services, such as Mailchimp, which allow full customisation including logos and branding.
Hope that answers your questions!