You click on the character then in the bottom right character there should be a delete button ^^
Go to your dashboard and click on the pencil icon next to the character's name. On the bottom right there's a link to delete it. It's a bit hidden so that people don't accidentally delete their characters.

If you still need help after these answers, there's even a video of someone doing it! 
http://www.rprepository.com/help/creating-characters#93

http://www.rprepository.com/help/creating-characters#93
You are on: Forums » Help » Delete a Character?
Moderators: Keke, Cass, Auberon, Claine, Sanne, Dragonfire, Ilmarinen, Darth_Angelus