You still get to keep her vote? That's so funny - I'll have to try that on a future playthrough!
I was able to get Radomil onto my council (either through Rhetoric or Menace). My notes say "galactic relations 60" for him, but fail to note if that is the only position he can be recruited into or if it was the only position I tried him in.
I got the impression of a firm no from Chapadoc, but I definitely could be proven wrong.