https://protectdemocracy.org/work/a-contingent-election-explained/

https://crsreports.congress.gov/product/pdf/R/R40504/7

Even if a contingent election does succeed in electing a president in January 2025, two potential outcomes raise serious concerns around democratic legitimacy and stability:

First, the House voting by delegation selects a president against the will of the voters, elevating a candidate who did not win the plurality of electoral votes. (Not only is it likely that such a candidate would have lost the popular vote, but their party could have lost the House as well.)

Or…

Second, the House selects the plurality winner in the face of an angry and aggrieved minority faction primed to believe that a corrupt establishment has stolen the election from their candidate in an opaque process.