Did I ever say that the romance doesn't work? All I said is that this subject should have been brought up in the romance arc. The issue with a non-human inquisitor was handled well enough - Thedas didn't accept them right away, they had to put some effort into winning hearts and minds.
I didn't say that you did. I was just using your post as a jumping point. I also agreed with you about the race/sexuality issue not being brought up enough (in general) It was touched on but it was a blink and you'll miss it moment. And honestly I didn't see much in the way of a special struggle for a Qunari inquisitor. Thedas doesn't accept any inquisitor right away. However, from the moment you reach Haven, you have pretty much an entire village willing to believe that a Qunari was graced by Andraste without regard to their race or belief (no matter that you were thought to be the murderer of the Divine not long before). One can argue that that's the most unrealistic part of the game. Not me, personally, since I'm not looking for realism in a fantasy game about dragons and spirits who can become people.
The way I see it, having children isn't an absolute necessity for the nobles, but is strongly recommended, because appointing an heir becomes a lot more complicated otherwise.
So we're in agreement? The major point of my post was that marrying and producing heirs is not mandatory, as a rule, even if it is strongly encouraged or forced in some instances. Obviously it's important to many, but that doesn't mean everyone does it or has to. And even Dorian's father might have cut him some slack if he had other sons who might take his place as heir. Dorian is the only child, so you can imagine his father was desperate to keep their house alive.
Also, since Josephine's family appoints their heirs as a rule, her marrying and producing, what would essentially be, another candidate to choose from isn't necessary at all. And, as you noted, too many candidates could become dangerous. But either way, what's necessary for House Pavus isn't necessary for House Montilyet. Taking all that into consideration, as well as the fact that we don't know that much if anything about Antiva when it comes to race/sexuality, it's a stretch for anyone to say that her family reputation will suffer simply because she's involved with a female/Qunari/elf.
Especially when you have evidence that shows the Inquisitor's influence/power, regardless of origin or gender, literally helps to elevate the House Montilyet back to the status it had before. It's more likely that they'll benefit from being connected to such a powerful figure through Josephine.