Matthew, the distant cousin of Robert and new heir, arrives with his mother Isobel at Downton Abbey to a cool reception from Violet and Mary, who resent them for standing to inherit the estate. Violet and Matthew's mother Isobel particularly clash after Violet expresses her disdain for the more middle-class relatives. However, as the Crawleys' lawyers say there seems to be no other legal option but for Matthew to inherit the estate, Violet and Mary's mother Cora encourage Mary to marry Matthew. Matthew seems attracted to Mary, but Mary will not stand for the idea.

Courtesy of PBS/Handout
Matthew and Mary have a cool relationship at first due to Mary's resentment of his inheriting Downton Abbey.