Dude/Tulsa: From the outside looking in I think there may have been some IT glitches on the SWA end initially. I believe someone confirmed that on this forum.
Like you I submitted on the 12th. No email.
Went to the SWA Career site and noticed the 9/12/13 posting was closed followed by a newer posting. I completed that one AGAIN. Got my email response 2 days ago.
Hopefully that is the issue and not SPAM folder issues. Best of luck.