I read that quote as his wife saying that she didn't want him to give up and die. She wanted him to fight the cancer rather than obtain a "profound acceptance" of it.
I think that's a false dilemma. In my mind, part of "fighting" cancer is trying to mitigate its impact on your everyday life, and acceptance probably plays a key role in that process. It's not like being angry and afraid makes you any better at fighting a disease. If anything "fighting" and "accepting" could be said to go hand-in-hand, especially with respect to illness.