"The idea of my daughter being branded a terrorist just fills me with horror," Clare said. She added: "Someone who believes ...
President-elect also nominates Tulsi Gabbard and Marco Rubio for senior roles, while Republicans are projected to win House majority.
The BBC's news partner CBS says the vaccine-sceptic is expected to named to lead the Department of Health and Human services.
The women told the BBC that Salah Fayed abused them in London, the south of France and Monaco between 1989 and 1997.