When MailCheck notifies you of new emails, you can delete them immediately via MailCheck without having to open your inbox
How to delete an unread email with MailCheck
In mail.com
MailCheck, move your mouse over an unread email that you want to delete.
A trash symbol appears.
To delete your unread email, click on the trash symbol.
The unread email is deleted.
Info:
After an update from an older version to a MailCheck version 4.5.x
or higher, this function is not automatically available. To activate this
function, you will have to log out and then log in again all email accounts that are set up in your mail.com MailCheck. Afterwards, the function will be fully available.