Originally Posted by
Just_Me_D You should be able to retrieve the email from a backup, but not in a file manner. You're going to have to restore that backup to your iPhone to actually view the email.
Depending on what kind of printer you have you MIGHT be able to print out the important ones and then just keep them in a paper file. I use gmail as my main email just because I know it will never go away and I can archive forever if I want. Same can be said of other major mail provider such as hotmail, yahoo, probably even icloud, but any "provider" email such as comcast, verizon, cox, etc will be gone shortly after you leave service with them.