The Wordpress SMTP problems can be solved with the Postmark Approved plugin. The plugin is available for easy one-click installation through the Wordpress Plugin Directory or by searching for "Postmark Approved" within the Wordpress admin. To use the plugin, simply plug in the Postmark API Key and the email address of a verified sender signature, allowing users to send emails without issues related to server settings or spam folders. The plugin aims to provide better support and debugging capabilities for Wordpress developers, with the goal of keeping the plugin fresh as Postmark features evolve.