Rebecca got half of her brain blown out alongside half her body, but considering the kinds of crazy shit that go on in the Cyberpunk universe, this is not so far outta left field. Will definitely have MASSIVE memory problems though, amongst other cranial injury symptoms...
Wait, didn't she replace her arms with the large blue/red ones? Error?
This happened after she got goomba-stomped by Adam Smasher, and I'd presume they took off the remaining left hand because she got new chrome parts to replace her missing half. Can't have cyberpsychosis as soon as you wake up.
In the game you can also 'downgrade' your implants to normal-looking ones, but never return to your flesh-and-bones originals.