Why the antibodies in donated blood don't attack the recipient's blood cell

Immune responses triggered by blood transfusions can be two-way,

More common: When recipient's immune system attacks components of the donor's blood such as Blood type antigens. Blood type mismatch is why careful matching of blood types became necessary and is now routine practice.
Much rarer: Donor's blood contains antibodies that can react with some recipient antigens. Occurs relatively rarely at the rate of ~1:10000.

The links within this chain of survival include: early access to the emergency response system. early cpr to support circulation to the heart and brain until normal heart activity is restored; early defibrillation to treat cardiac arrest.