I would investigate the underlying cause of fever after transfusion (see if your child has developed antibodies that reacts to antigenes). If you have donors from same group of people, you may choose to switch the donors and see if the fever is gone.
Sometimes, antibodies in the recipient’s blood can attack the donor blood if the two are not compatible (this may be the case for your child). If the recipient’s immune system attacks the red blood cells of the donor, it is called a hemolytic reaction. If the recipient’s immune system attacks the white blood cells of the donor blood, it is called a febrile reaction. In haemolytic reaction, the haemoglobin drops quickly requiring frequent blood transfusion. In febrile reaction, the symptoms include fever.
Do you mind sharing if the fever was accompanied by chills and shaking in your child.
Try switching the donor as first step.
Ask your doctor if a different antihistamine is required.