She was Daenerys "Stormborn" Targaryen, Mother of Dragons.
Truthfully, she never would have guessed that the dragon eggs given to her as a wedding gift would hatch, and she remembered the shock she had felt when they did and three small creatures had burst from the shells, bonding to her and she, in return, to them as well, nearly immediately. Daenerys had felt a strange connection with them right away the way she had had one with her still-born son, Rhaego.
Despite the fact that she had often been considered "too quiet" as a child and never had been voluble, she had heard a lot of stories when she grew up as she and Viserys travelled ── too much for someone her age, sometimes. She remembered very well how, one day, she overheard some women talk about a fellow female trader who had miscarried a child. "It isn't really a loss." She hadn't had an opinion then, as she hadn't been familiar with that kind of situation and she had been very young still, but now, she thought that those people must have never lost a child that way and obviously didn't have the empathy to truly discern the feelings associated with it.
As Daenerys saw her black and red scaled dragon soar leisurely over the city of Meereen, his wings spread wide, she had never felt less of a mother. Drogon, Viserion and Rhaegal had grown to be much larger than she could have possibly anticipated, and especially Drogon had become a lot more aggressive, too. The Queen suspected that her faked trade with Kraznys had lead to feelings of betrayal and fear. He hadn't understood that she never would have let him go.
The Mother of Dragons assumed that betrayal was a feeling Viserion and Rhaegal felt towards her, too. She knew she had made mistake by chaining them. Instead, she should have tried to get a grip on them the way she knew she had to now. She had a longer way to go to gain their trust back after that decision, she was very well aware.
She didn't know how to actually do that, though. She had to admit that she was nearly afraid of her own children, and that was very hard for her to admit, even to herself. Daenerys was proud of how they had grown, what they had become, but she terribly wished that she could have the same bond with them now as she used to when they were smaller, less independent.
Watching Drogon's enormous silhouette at last disappear in the sky, she cast her eyes down and sighed, nearly inaudibly. She didn't know how to be their mother anymore. Nonetheless, decision made, Daenerys pushed off of the old support and turned to make her way back to the catacombs. If Drogon could come back to her and nearly let her touch him, then Viserion and Rhaegal must still hold some of the affection they had had for her as well.