I hope you don't mind me giving my two cents on the matter. Some people need to learn the difference between reality and fiction.
And anybody want to help me crystallize a possible Inquisitor for Josephine>
Josephine seems to be a knowledgeable diplomatic. I would even say that she will be one of the most vital person in the whole team because of it. Think of it.
We will have to deal with Dalish Elves, City Elves, Surface Dwarves, Underground Dwarves, Templars, Red Templars, Peaceful Mages, Crazy Mages, Human Commoners, Human Nobles, Venatori, Tal-Vashoth, Qunari, etc
Since Josephine is the ONLY diplomat and diplomatic / trade / commerce adviser available to us, she must be very intelligent, very talented and very well versed on other cultures. You cannot be making deals of any form, be it diplomatic or commerce, by being a closeted princess.
Which means for an Inquisitor to romance Josephine, they would probably have to have an open mind, be curious about knowledge and cultures, value diplomatic and trading highly, you will be appealing to a character like her. Bonus points if you are play as an intelligent Inquisitor.