The first time Cage saves Rita, he gets shot in the chest. At that time, Rita takes away the battery from his Armour suit. Why did she do that? At that point of time, she didn't knew Cage has the ability to control time.
All she cares is about winning the war. He was gonna die anyway, so she could have left him there to die with the battery.
Later in the movie, she tells him if he gets injured in battlefield, make sure to die there. Otherwise, he will be taken to the hospital and will be injected with someone's blood and lose the ability to control time. It matters only if he has the ability to control time. That's how she lost it.
So, doesn't taking away the battery mean she knew he had the ability to control time? If not, why did she care about him? If he dies in the field, or gets injured and taken to a hospital and injected with someone else's blood it's his fault. She doesn't even know him.
What's the reason for such an act?