Have you tried to delete a character yet? You have to click delete, select the character, click delete again, wait 30 seconds and finally confirm the delete again.
I feel your pain, but when i decided to delete my Eve Online characters in a mad rage, i was forced to wait 10 hours. I think they force you to wait so long to delete characters in hopes you are not thinking clearly and will reconsider after a decent interval. However, after 10 hours, i was even more enraged due to having to wait to complete my emorage inspired destructive act. Then, after all that, i was asked if i was sure i wanted to delete my character. Yah, pretty **** sure... I waited 10 freaking hours. I almost smashed my laptop.
My Eve characters were finally safely deleted, to the great relief of my imperiled personal electronics... FFXI and FFXIV seem to have pretty forgiving character deletion processes. A good thing for emoragequit scenarios, but will undoubtedly lead to regrets for players who easily bend to the will of angry girlfriends...