Strobe Talbot
Secretary of State
For obvious reasons, this is seen as the job Clinton will think about most — potentially empowering the pick, or potentially leading to an extra level of oversight at Foggy Bottom from the West Wing. Clinton’s seen as being intrigued by having a person in the role who has experience in elected office, but there’s no obvious contender from the House and Senate (except for current Secretary of State John Kerry, whom people expect would leap at the chance to stay on, though probably would suffer from Clinton wanting to have her own pick in this job most of all). People at the State Department and elsewhere are pulling for Wendy Sherman, the former undersecretary of state for political affairs and a key player in the Iran nuclear deal, and Bill Burns, a career diplomat who was deputy secretary of state.
Nick Burns is seen as being in the mix as well, a career foreign officer who rose to undersecretary of state for political affairs in Bush’s second term and has been a strong defender of Clinton in the campaign. Kurt Campbell, Clinton's assistant secretary for East Asian and Pacific Affairs, has expressed interest to several people. Strobe Talbott, the friend of the Clintons and a deputy secretary of state during Bill Clinton’s first term and now the president of the Brookings Institute, is also seen as a possibility. Or Clinton might go for a surprise like James Stavridis, the admiral who was the only nonpolitician to be vetted for her running mate.
https://www.politico.com/story/2016/08/insiders-game-out-clintons-cabinet-226599