Question

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

Answer 1

Answer:

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.

Answer 2

However, by the time a cross match is done, the level of antibody in the recipient's plasma is too low to cause agglutination, making this type of reaction difficult to prevent. Likewise, during the blood transfusion the level of antibody is too low to cause an acute transfusion reaction. As people with blood group AB have no antibodies, they can receive all blood groups without issues. People with blood group O can only receive RBCs of blood group O, because they carry both antibodies. ... Hence, blood group O can be received by all other groups, and is therefore the universal donor.