Once your website has been submitted to directories, you would want to regularly check your email, since some directories send out email confirmation links which have to be clicked on in order to complete the submission. However this does not mean that you have to open and check each and every mail that you receive from the directories. Judging by the subject line, which would read something like 'Click to Confirm' or 'Confirm Listing', you should be able to ascertain whether or not it is necessary to open the emails.