The severity of her husband's illness led to the possibility that he would not be able to finish his term in office and that the Governor of Arizona would have to appoint a successor until a special election could be held. There is a tradition in such situations for politically involved spouses to be named as replacements, a practice known as "widow's succession". The possibility became an issue in the 2018 Arizona gubernatorial election, where in the Republican primary contest incumbent governor Doug Ducey was trying to fend off a challenge from former Secretary of State of Arizona Ken Bennett. In May 2018, some media reports stated that Ducey was planning on naming McCain if the seat became vacant. To this, Bennett, who was seeking to capitalize on the dissatisfaction that some conservatives in the state had long had with the long-time senator, stated, "I promise I will not appoint Cindy McCain to US Senate as Gov of AZ." For his part, Ducey refused to publicly speak about the possibility.