[3] In 1989, she was the first recipient of a British Government scholarship for students in central Europe and was presented with her award by UK Prime Minister Margaret Thatcher personally.

[8] In 2006, after she was removed from her UN position, she complained that this was due to Israeli political pressure which resulted in her losing her seat and being replaced by a Hungarian Jewish woman, Andrea Pető, whom she described as "a well-known Zionist activist".

[9] In March 2009 the Jewish Telegraphic Agency[10] cited a report in a German weekly called Jungle World, according to which Morvai "advised" the "liberal-bolshevik Zionists" to "start thinking of where to flee and where to hide" in a 2008 speech.

'"[13] In November 2009, Palestinian Return Centre, a pro-Palestinian advocacy organisation, withdrew Morvai's invitation to a London conference in support of Palestine.

After announcing her candidacy for the European elections, Morvai became a focus of attention for the media, shunning interviews with the United Kingdom press in light of what she saw as biased attacks.

After the election Morvai stated that despite the large amount of defamation Jobbik was calling on its political opponents to come together and cooperate to achieve the goals of the country.

[18] Morvai has been called antisemitic by Haaretz,[19] especially after her statement that "so-called proud Hungarian Jews should go back to playing with their tiny little circumcised tails.