Can bilirubin from a donors blood affect the recepient?

No: I wish they were all that easy to answer. Bilirubin by itself is non-toxic, and your bilirubin is the same as mine. If the donor has hepatitis and thus a high bilirubin, it'll be detected and the unit won't be transfused.

Not tested: Bilirubin is normal in every person and should not affect the recipient of blood transfusions. Bilirubin levels may be elevated due to underlying disease process, in which case the potential donor should have signs and symptoms making him or her ineligible for donation during the medical screen and physical exam before donation.