Last night, the Japanese Square Enix Members Twitter account (@SQEX_MEMBERS_JP) posted a short comment from Final Fantasy XIV Producer Hiromichi Tanaka regarding beta selection.  Tanaka was quoted as saying:

"Participants for the Windows beta test will be selected sequentially.  From the time the beta test begins, we will continue to slowly, but surely, add in players.

Those who haven't been selected, please don't be disappointed and start looking forward to your next chance!"

For now, players can try submitting their application through ZAM's Special Beta Recruitment, but whether you win or lose, chin up!  There are more opportunities on the horizon!