you can add filtering rules to move messages from your inbox to a folder. It had options to filter on a handful of named headers, like From, To, Subject, CC, and the message body. Then a ‘Headers’ option, which I guess looks for a match anywhere in the headers.
There should be a specific option for the Deliver-to header. If you are using the address extension feature (email@example.com) to give specific addresses to vendors, mailing lists, etc., Delivered-to is where the target address appears, so it is critical that you can create filtering rules specifically for that header.
(If the ‘Headers’ option works the way I surmise, it’ll probably work in most cases, but it is rather imprecise (and potentially error prone) to be looking for a string across multiple headers when you know precisely which one it should appear in.)