Condi, Condi, what shall we call ye?
Condoleezza Rice's actual title is assistant to the president for national security affairs, not national security adviser.
I don't much relish the idea of writing Assistant to the President for National Security Affairs Condoleezza Rice. And nor should you.
So, is it OK to call her national security adviser? Sure. That's what everyone calls the position. But, because it is not the official title, I wouldn't capitalize it before her name.
Some agree. Some don't. Some can't make up their minds.