The current Kingdom Minister for Arts and Sciences is Mistress Victoria Thrakeses, OL. You can contact her via the official contact address for the KMoAS: firstname.lastname@example.org.
Contact details for group officers should be available on the group’s website (use your google-fu!).
All Officers in the SCA are volunteers, so allow about a week for email correspondence. If you have an urgent question, then you can try to contact the KMoAS via the Lochac A&S Showcase and Discussion facebook group.