Shipka has received praise for her performance on Mad Men. In naming her as his dream nominee for the "Outstanding Guest Actress in a Drama Series" Emmy Award, Austin, Texas American-Statesman critic Dale Roe remarked, "This 10-year-old actress was so affecting as troubled Sally Draper last season that it seems odd that she's only just been upgraded to series regular. If Shipka's upcoming Mad Men work—struggling with the broken marriage of her parents and entering preteendom in the tumultuous 1960s—remains as amazing as it was in season three, this is a ballot wish that could come true next year." In 2017, she portrays B.D. Hyman, daughter of Bette Davis, in the FX television series Feud: Bette and Joan. Shipka has taken Muay Thai boxing classes.