“We’re not going through this again. I’m coming with you, end of discussion.”
President Allison Taylor: I need him safe.
Jack Bauer: I understand ma'am. I’ll leave for the UN immediately.
President Allison Taylor: Thank you Jack. I’ll see you when you get here.
Jack Bauer: Yes, ma'am. *hangs up* She wants me to supervise Hassan’s evac to McGuire Air Force Base.
Renee Walker: Alright, let’s go.
Jack Bauer: Renee… Renee, I need to do this on my own.
Renee Walker: We’re not going through this again. I’m coming with you. End of discussion.

Renee sure is willing to continue on despite Jack being overprotective about her.
I agree with Brendan and i also think she wants to stay with Jack. Because almost loosing him last episode was hard enough and if he were to die, she would be by his side too.