 Greig akatsigira UK kuramba muEU muna June 2016 referendamusomupepeti weThe Mail on Sunday. Ipapo akachinja chimiro chake kuti atsigire chibvumirano chokubva chaTheresa May. Greig aifungidzirwa kuti akatungamira Daily Mail munzira yepro-Remain, iyo yakashoropodzwa nemutungamiri wake, Paul Dacre, uyo akati Kutsigirwa kweBrexit kuri muDNA ye Daily Mail uye, zvakanyanya kukosha, vaverengi vayo. Chiito chipi nechipi chokubvisa izvi chaizova kuzviuraya kwomupepeti uye kwokutengesa. The Guardian rakati kutsoropodza kwaDacre Greig kwakaratidza kusanzwisisana kwakadzama kwomunhu oga uye kwendangariro pamusoro pepepanhau racho. 