I had some issues when I added email accounts and had to delete and re-add my Gmail account.  Now, despite having only two email addresses, I have three in boxes, so my left navigation looks kind of like this:

Inbox
-Blog Emails
-Old Gmail
-New Gmail

I'd like to delete Old Gmail as it's inactive and a waste of space, but it can't be moved to the trash nor can you delete it from the top menu bar. Is it basically stuck there?

Thanks!