Well, she isn't the daughter of Aerys, Rhaegar and Rhageo - she's the daughter of _death_.
Just as she isn't (necessarily) the bride of Drogo, Euron and Jon Snow, but the bride of _fire_.
It's quite possible that the prophecy uses terms like "daughter" and "bride" as synecdoches, for "kinship" and "alliance" respectively. Dany might have come to love Drogo, but that's not what she married him for. Don't forget the "fire" part of the sentence. Yes, it may stand for passion - but for Dany, fire is, most of all, power. That's what these "marriages" are about. Maybe Hizdar is missing from that list, because that alliance was more of a dud, and ultimately failed to provide Dany with additional power.