Quote Originally Posted by DB_Hunter View Post

Kakashi changed right after Obito's death. Unless Rin died the very instant Obito did without 'new' Kakashi having the chance to save her from any potential danger, Kakashi would have done his utmost to protect her even it cost him his life.
This is true, in fact right after obito died rin and kakashi were ambushed and he told her to run; if minato didn't save them, kakashi would have died protecting her.