Judge has been on the International Advisory Board for the development of nuclear energy in the United Arab Emirates and has led a trade delegation to India to discuss how British companies could take part in the construction of six nuclear reactors at Jaitapur. In 2016, Judge was appointed to the International Advisory Group of the Jordanian Atomic Energy Commission. She has called for a transition arrangement for the UK's membership of Euratom prior to Brexit and a structured relationship with Euratom thereafter.