Yvette crumples into the hug and tries very hard not to sob.
For the most part, she'd been putting her emotions on hold - in a very human way, not in the 'I can turn my emotions off when I want to' way that is available to her. Now here they are, all in a rush, all together. Relief at finally being home, the final end of the omnipresent all-encompassing dread of being stranded alone in an impossibly vast multiverse, like she's a puppet that has suddenly lost all of the strings holding her up. Then there's the other familiar kind of terror, the one whispering that maybe she messed up, maybe she changed too much, maybe she's too strange and alien now. Maybe her parents will hurt to look at her and her sister won't know how to connect with her and she'll say the wrong things because she's been fundamentally disconnected from everything that she holds dear. Then there are the more immediate emotions - anger at something strange and alien touching her home while she was away, anguish at the whole world moving on without her, annoyance that she can't just go completely home because there's a mess she needs to deal with, and she doesn't seem to know how to say the things she means, because words are hard, and feelings are hard, and people are hard, and she's probably the most powerful woman in the world so why does she feel so lost?
She does not succeed at not sobbing. Her tears follow the starscape theme.