As per my last post below in your original thread, as you have already tried the correct eM Client IMAP settings for Embargmail (centurylink), we would next need to know if you are getting any errors in your operations log.
Go back to Show Operations via the dropdown arrow on the right of Refresh, and then click the “Log tab” and look for any obvious IMAP errors. Then update those in this thread.
Blank out anything personal in the log errors