I think it will change once her children will be more involved and she will be forced to pick a side. However that's good I think, gives her way more complexity as a character.
Overall I really like what the show is doing. They are humanizing every character in a way that you can clearly understand how and why they are feeling certain way and acting the way they are as result of it. I like nobody is clearly good or evil, makes it way more interesting in my opinion.
Even if you know the story it still makes it highly entertaining to watch as it gives you a different perspective. And it will make the Greens vs Blacks conflict much more intriguing, you will be picking a side and cheer for them like it's a football match.
Because I think HotD did much better job at changing things in a rather logical way.
For example Corlys Velarion is white in the books. However him being black doesn't seem so weird. His family is from Valyria which was already far away from Westeros where the main story unfolds and it isn't that strange for a sailor to be at least mixed. It makes sense they would marry on their travels across the world to forge strong alliances to ensure their trade. Also his and Rhaenys' children are mixed and his whole family is black.
On the other hand, in LotR you get those things thrown in without much thought other than meeting quota. To be honest, I find it kind of disturbing and disrespectful. Not that the actors are doing bad job and white could do much better but because it feels like an afterthought. They didn't attempt to expand on the change at all, which reduces the whole issue down to skill color and therefore it's rather racist too.