In some eastern and middle eastern countries the rules rule heavily in the favor of the man of the house scheme but in the west we are able to see more eye to eye with the equal share relationship idea.
In the case of movies one movie that states the rules of strong women would be "Avatar" where the character Neytiri shows herself to be the guiding and supporting force within her relationship with Jake Sully. A perfect example of this is in the scenes in which she trains and teaches him. On the other hand the movie "Casablanca" shows a more strong chivalrous man in the form of Rick Blaine and the more submissive woman, Ilsa Lund. The best examples of this are in the scenes when Rick protected her from the dangers of war he proceeded to try to woo her but she was in turn submissive and true to her husband.
Based on the fact that she has 0 of the 4 cardinal virtues and the fact that she is a "lady of the Night" and that she is there merely to bring contrast to the others we can successfully categorize her as a unconventional woman.
Piety- In this regard she has an old testement mentality basically meaning that some one should pay for their crimes to the utmost but she lessens up on Othello when she finds out that he has been duped. Nonetheless she still qualifies for piety (she has piety)
Purity- There is no question in regards to the past and present day standards that she is pure in heart, mind, and body and in relationship to her husband.(She has purity)
Domesticity- She doesn't exactly interfere with Iago's work but when push comes to shove she interferes with his other work of betraying Othello so I would have to say she lacks Domesticity but in a good way.(she lacks domesticity)