Nyorai kupfuurira kwendima iyi - Pana 5 November 1981, Papa John Paul II akagadza Micallef saVicar Apostolic wechitatu weKuwait. Iye akatsaurirwa naPapa amene pamutambo weEpiphany 1982. Musi wa15 Ndira wegore rimwe chetero, akagadzwa zviri pamutemo saApostle Vicar weKuwait uye Titular Bishop weTinis muProconsulari. Micallef akaramba ari muKuwait City panguva yokupinda kweIraq muna 1990
, mumwe wavanhu vashomanene vokuMadokero kuita kudaro.