Risk
Risk is a maddening game, the place where strategy meets luck. You can plan your moves, but the almighty dice have as much say as you do.
No amount of thinking can eliminate chance.
She wants to conquer him the moment she sees him. It's not that she wants to take him over; it's more than that and less than that at the same time. She wants to understand him, to solve the cipher that makes up his mind. For her, to understand is to win. She doesn't ask for more; he's an unstable territory.
He lets her walk right in, plant a flag, and make her home as deep into his headspace as she wants. But she's known him long enough to realize that what she sees isn't really him; it's a hologram of a mind. It's a pleasant place with a perfect smile and a special reserve just for her. But it's not real.
She's lived through worlds of agony with enough trauma victims to know that she can't invade the girl's territory with force. She has to tiptoe, putting one foot slowly in front of the other until she's made an outpost in the edge of the wild country. She's not welcome; she doesn't know why.
He tries to invade her land, the wild-eyed doctor behind bars. His dice rolls get him more than he bargained for, though. She decimates the made-up territory he thinks he inhabits, and he almost kills her for it. She thinks, later, that it's strange how satisfied she feels.
Too much thinking. That's what he always says. They inhabit different spheres. His is the one country she never tries to invade. She doesn't tell him he has no territory in hers, either. He may wear the title of boss, but she belongs to herself.