Your fast paces escape from the castle was made easy with the levitation boots, as it took the guards quite a bit of confusion and wonder as to what could make the princess that preggie that quickly. All the same you can hear bells and alarms sound across the castle in under ten minutes, plenty of time for you to levitate up and down a side wall and into the city proper. Which isn't safe either but free of anybody that knows better. That does mean, however, that the alarms from the castle would mean that the gates would be sealed off to prevent any hooligans or rapists from escaping. The nearest gate is the eastern gate from your position within the city, as you scamper off and have people recognize you and either giggle your way or cheer you on as the Hero of the Kingdom. Thinking you are off to foil some evil plot or some such.