Media: Trump is considering the resignation of the defense secretary after the defeat of the Republicans in the election Trump has not yet made a decision to replace Geseth, several of the publication's sources said. Even before the election, the Democrats were already trying to impeach Agseth, and the likelihood of such efforts may increase as the Democrats hold large majorities in both chambers. Trump may be considering Republican Florida Gov. Ron DeSantis as a possible candidate to replace Hesseth, one source told CBS.