A scene from “Unfinished Business”

Jace: The lowborn claiming dragons, was it her idea? Lady Mysaria?

Rhaenyra: You were enthusiastic enough when Ser Steffon made his claim.

Jace: He was the Lord Commander of the Queensguard, heir to the Dunfort. These people are...

Rhaenyra: Courageous.

Jace: Mongrels!

Rhaenyra: Jace, think what is at stake.

Jace: I know well what is at stake. House Targaryen is the blood of the dragon. If any may lay claim to it, what are we then?

Rhaenyra: The rightful rulers of the Seven Kingdoms.

Jace: And what if one of your baseborn, silver-haired dragonriders decides he wants to rule the Seven Kingdoms? Did the Conqueror's Dream foretell that?

Rhaenyra: What else would you have me do? Prosecute a war, which we will lose, in which thousands will die? Or fly against Vhagar myself? Or perhaps you will fly against her on Vermax? Jace, with these riders, we can end a needless war. I may take my rightful place on my father's throne.

Jace: And when you die?

Rhaenyra: You are my heir!

Jace: Did you think I would have dark hair? When you took Harwin Strong into your bed, did you think I might favor him, or did it not cross your mind?

Rhaenyra: Jacaerys...

Jace: I'm no fool, Mother! The proof is here for all to see! Yet I might argue my legitimacy to succeed you because I have a dragon. And now you say you will strip that from me too.

Rhaenyra: I mislike all of this.

Jace: Then don't pursue it.

Rhaenyra: But I cannot gainsay that which the Gods have laid before me.