Complex sentence: When they went on stage to receive their awards, her acceptance speech was pre-empted by the orchestra's music cue to leave the stage, but host Jon Stewart invited her back to deliver her speech following the commercial break.
Split into simpler sentences: When they went on stage to receive their awards, her acceptance speech was preempted by the orchestra's music cue to leave the stage. Host Jon Stewart invited her back to deliver her speech following the commercial break.