Definition of "hugely"

But the row highlighted the fall from grace of the ethnically diverse women Sarkozy once promoted but later cast aside, who are now rebelling. The former young sports minister, Rama Yade, outspoken and hugely popular, has not only quit the government: she has left Sarkozy's party.

2011 December 14, Angelique Chrisafis, “Rachida Dati accuses French PM of sexism and elitism”, in Guardian‎