Sorghaghtani was respected enough that she even shamed the Khan, Ögedei (her brother-in-law), to hand over more territory that had been her husband's. Ögedei did, however, absorb some of her territory and also conscripted much of the military attached to those lands.
Again underscoring the power held by women, upon Ögedei's death in 1241 his widow was regent for the Mongol Empire for the next five years until she got their son Güyük elected khan over other claimants.
Güyük had not been raised to respect women, however, and he targeted several women who were holding power that he wanted. The first was his own mother, Töregene Khatun (Khatun = queen), who had worked to get him elected; next was Sorghaghtani. Genghis Khan's third daughter, Alakhai Bekhi, who was regent for areas in China, was another target. Ebuskun, the wife of a grandson of Genghis, had been regent after her husband's death (and son's minority) over the Chagatai Khanate, an enormous region.
During Güyük's attempts to undermine these women, Sorghaghtani allied herself with Batu Khan, Güyük's cousin, ruler of the Golden Horde. In 1248, Güyük started a military campaign to the Middle East, which put him in Batu's direction; it is possible he intended to deal with Batu's opposition. Güyük died suddenly and with no particular cause. (Some insinuate that Sorghaghtani brought it about; she certainly had motive and ability).
Whatever Sorghaghtani's role in Güyük's fate, it was an opportunity for her to propose her eldest son, Möngke, as khan. He had fought alongside Batu, who organized a kurultai (Mongol political and military council) that elected Möngke to be Khan in the late 1240s.
Sorghaghtani became ill and died in the late winter in 1252, and had a Christian burial. She did not live to see three other sons become khans, nor to see her son Kublai Khan capture her youngest Ariq Böke in conflict and imprison him until his death. Perhaps if she were alive a little longer she might have counseled them and avoided the hostility.
What about Batu Khan? He was powerful enough that Sorghaghtani turned to him for help, but was okay with letting someone else become Great Khan. He was far more influential inhibitory than Möngke—and better known to Europe—and we'll see how tomorrow.