Put the queen card under the empire card that it has married into. Move the pair to your tableau. Treat them as separate cards when you do an east or west Ops, but they are treated as one card for bishops.
The queen is killed if her king is killed, the king remains if the queen dies.
You don't have to marry a queen to a king. You may stick her card under your Player card. She is not in your tableau, so she can't do Ops or abilities, but her prestige counts at game's end.