In my story. Gordon enters his final challenge,where Nashton is waiting. But of course Batman shows up and saves the day,but is also nearly killed. 
After Nashton has been caught,he tells everyone that Batman and Gordon are still working together. Gordon is questioned by the Mayor,and he tells Garcia the truth. Garcia says he will keep it a secret and plays along by suspending Gordon as Commissioner, pending inquiries.
Agent Bullock,who is baffled by Edwards revelations,questions him. Edward however cons Bullock by announcing he knows who Batman is. By good convincing,Bullock helps Edward escape so that he may catch Batman and get to the bottom of the situation.
Edward bases his new alias on his philosophical views on life and the favourite aspect of his challenges,riddles. He becomes The Riddler.
Riddler then sets up his challenges for Batman,so that may have a worthy challenge,to prove he is the smartest man alive,and to unlock the riddle that is Batman.