A martell uses the Doran card against a Baratheon. The Baratheon moves down in the iron throne track (hipothetically). Does the Baratheon resolves another order when his turn comes again? Or does he not, since he already resolved an order?
To fully answer, a player will never have to remove an order due to Doran. It alters the order in which he executes a march order, but it will eventually be his turn again and he will get to act.