You're running away from your home, because your parents set up an arranged marriage for you.

You dont know how you're gonna survive outside alone, then you remembered how the king is searching for a healing mage to free him from a curse, or at least tame it down.

Everyone in the kingdom knows about the curse, the curse is placed on him by his own mother who wanted a daughter instead of a son.

It's worth a try to apply for the position? Not like you have anything to lose if you fail.