@erlend_sh suggestion is that it's possible to link the feedback form on the site to automatically create new topics from the messages in this (or other, even private) discourse categories.
The workflow would be:
* I fill the feedback form, click send.
* A new discourse topic will be automatically created in this category with the subject and content.
* I will get any replies people made in my email as regular emails without having to create a discourse account or knowing what discourse is.
To implement this it's as easy as set the destination email for the website form to an email that @yousef or @tanner can set up in this category as "incoming email".