She wants to have the emotional support to have you as a close intimate friend.
The fact that you had sex simply means that having sex is part of what is okay for her.
It does not mean committment. It does not mean that she wants to get back with you .
Even in this type of break up situations she will often be clear about the fact that she enjoys being on her own and wants to be free!
Listen to what she is really saying!
http://vitalcoaching.com/breakupformen.htm
To your power!
vitalcoach