Complex sentence: During his career Rushing was honored with many awards by music critics, including four-time Best Male Singer in the Critic's Poll of "Melody Maker", and four-time Best Male Singer in the International Critic's Poll of "Down Beat".
Split into simpler sentences: During his career Rushing was honored with many awards by music critics. He was a four-time winner of Best Male Singer in the Critic's Poll of "Melody Maker" and a four-time winner of Best Male Singer in the International Critic's Poll in "Down Beat".