I know I know, she is female, but she has a soft voice that naturally sounds like a man. She has red hair!  Plus what kind of sinister evil person would love her job more than a person, NO she needs to stay in the department to keep tabs on Jane.  Plus I believe she has been in the department for 9 years, same as how long red john is on killing spree.  She could get the inside info right then and there.  The one time Red John saved Jane he had called Lisbin and told her where he would be, thus only lisbin and maybe the team knew where he would be.  It is quite unlikely that a serial killer would keep tabs on Jane that often.  Maybe its coincidence but I think not. Oh and did I mention, She was "seeing" a guy that killed people when Jane was blind for that one episode, but he didnt shoot her and she didnt appear in any distress.  And now she dates a FBI agent for more inside info.  Lets face it she is the best with the computers so she could easily hack the ones at the CBI to send all those messages....