Quick Filters and Rules serve different purposes in email management. Quick Filters are used to narrow down your email search and view specific types of messages, such as unread or starred emails. You can select from a list of pre-defined filter options, such as Today or To Me, to quickly find the messages you need. Quick Filters are accessible from the Message Action Bar in the mobile web service.
On the other hand, Rules are used to automatically sort incoming emails into specific folders based on pre-defined criteria set by you. For example, you can create a rule that directs all emails from a particular sender to a specific folder. Rules can be edited or deleted at any time, but they can only be created and managed through the Webmail service on a desktop or laptop computer.
In summary, Quick Filters are designed for quickly finding specific messages in your inbox, while Rules are used for automatically organizing incoming messages into designated folders.