This is the latest update (article dated Oct 28) which states --I believe legally and correctly -- that Gergiev does not have the right to hire/fire within the Vaganova Academy.
Interfax, with a link from Gergiev's press secretary, stated that Maestro is not carrying out any discussions regarding appointing a new *rector* of the Academy. (But note: the previous articles spoke not of Dorofeeva's position but of Altynai's as AD).
And that Gergiev is at present time not in NYC but in Vienna for the second day of orchestral concerts. The press sec added that he doesn't have the right to address hiring issues that are under the purview the Ministry of Culture. And that the issue of appointing a director of the Academy can ONLY be managed by the Ministry of Culture, and therefore the comments/articles that Maestro was holding discussions to this effect was just a fantasy.
If *that* article is true then there's a lot of speculation in the press going around.