Complex sentence: Yudina has the distinction of being Stalin's favorite pianist yet remained an uncompromising critic of the Soviet regime until the end of her days, which resulted in her being banned from teaching or even appearing on stage more than once.
Split into simpler sentences: Yudina has the distinction of being Stalin's favorite pianist. Despite the recognition from the big leader, the pianist remained an uncompromising critic of the Soviet regime until the end of her days, which resulted in her being banned from teaching or even appearing on stage more than once.