The move comes after the president installed himself as chairman of the beloved arts center where he has never attended a performance.
The rock band played the venue on Friday in the midst of a MAGA makeover that has resulted in a number of acts pulling their gigs.
The musician is just the latest act to sever ties with the venue to protest the president's changes.
Singer/songwriter Ben Folds also resigned his post as an adviser to the National Symphony Orchestra.
Last month, Rutter had announced her decision “to step down at the end of this year," but
