Daniel-Selvaratnam's appointment as Governor of Anguilla was announced on 28 November 2020; she would be the second female governor of the territory after Christina Scott.[5] She arrived in Anguilla on 15 January 2021, and began her duties remotely due to the 15-day quarantine mandate.[6] She attended her swearing-in ceremony over video link on 18 January 2021.[2] On 21 January 2021, she addressed a meeting of the Executive Council,[6] and later met the opposition members of the House of Assembly.[7] On 26 January 2021, she swore in a new magistrate, Piyumini Weeratunga, who had previously served as a magistrate in Montserrat.[8]
After completing her quarantine, Daniel-Selvaratnam toured the Princess Alexandra Hospital[9] and the "hotel belt".[10] She followed up these visits with an island-wide tour. In each district, she met with the representing MP and local residents; she also discussed the upcoming COVID-19 vaccine rollout.[11]