@Ixel: Try rearranging the realms to alphabetical order, then see, if you see it and even if it displays no characters, double click on it and see if you get to your character list. If you do, but still see no characters, switch to different realm, then back to Kirin Tor again…
@Ixel: You are welcome! Unfortunately the connection program has various oddities, but this one is from the easier end to “fix”. Most big problems require Blizzard intervention.