Curl, not "Kurl".
Since no school/team has won four championships in a row, unless there is some player who transferred from one championship team to another or a 'well timed' redshirt/medical hardship year, there is certainly no player who has won four championships. Minnesota is the only team (so far) to have won 'four out of five'.
The closest would probably be Amanda Kessel (of course

, who played on the 2012 and 2013 championship Gopher teams, then after missing time due to Olympics and injury, played again on the 2016 championship team. She would have been 'around' the 2015 team, but did not play; a medical hardship year.
(And, amazingly, Eden could possibly win FIVE. The 2021 COVID year doesn't count against her four years of eligibility or her 'five year' window, so right now she is for eligibility purposes a freshman with two championships already won and three more possible. 2022 Olympic centralization also didn't count against her 'clock'.)