Ok, let me see if I can add a little depth to the "Cordia as a love interest" side of the debate...
@HopesGaming has stated (and he can correct me if I'm mistaken) Cordia could possibly (eventually) become a love interest for the MC very late in the game. As you stated, she's the head of the family and not one to be trifled with. That being said, however, if the MC were to rise through the ranks high enough and show he's more than competent to lead the family (or just be romantically involved with the head of the family) then why would she be forced to be excluded as a possible "Love Interest"?
Basically, I see Cordia as the finest carrot on a really long stick. If I wanted her, then it would be a major uphill battle to get her.
(I'm expecting more than a few "long stick / dick" jokes in the replies... If they don't happen, I'll be more than a little disappointed in you f95'ers. LOL!).