Ressa, who is also a US citizen, and Russian journalist Dmitry Muratov were awarded the Nobel Peace Prize in October for their efforts to "safeguard freedom of expression".
Ressa is fighting at least seven court cases, including an appeal against a conviction in a cyber libel case, for which she is on bail and faces up to six years in prison.
The International Center for Journalists has urged the Philippine government to reverse its order to shut down Rappler. "This legal harassment not only costs Rappler time, money and energy. It enables relentless and prolific online violence designed to chill independent reporting," ICFJ said in a statement posted on Twitter.
Ferdinand Marcos Jr, the son of the Philippines' former dictator who presided over widespread human rights abuses and corruption, succeeds Duterte on Thursday. Activists fear Marcos Jr's presidency could worsen human rights and freedom of speech in the country.
Source: Agence France-Presse
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