One aspect of making this web part better is to take care that site (or page) owners are aware of the feedback they are getting.The traditional approach is to create an alert for the owners on the feedback list or have some sort of logic within the web part that executes. Another, even more useful approach is to use SharePoint Workflows. The modern way is to use Microsoft Flow. With Microsoft Flow, we can easily create a flow that will trigger when a new item is added to the feedback list, and then maybe send emails to owners. The email could include the link to the page in question and our feedback list could have additional fields like status and owner's comment. The flow could also send an email back to the original user because we know him as the creator of the feedback list item.
The flow would benefit from additional information about the page the feedback concerns. For example, information which will allow it to open the page...