Fun fact: Ganyu hates rumors and idle gossip as she does not see them as constructive or productive as well as detesting the idea of tearing anyone down. I figured that after a few centuries, it gets pretty old. The proof? Ganyu's voice line about Beidou.
"Recently, everyone in Yujing Terrace has been saying nasty things about the Crux Fleet. But in my personal opinion, Beidou's contribution to Liyue Harbor goes far beyond what those miserable rumor-loving heathens could even contemplate! ...Oops! I'm sorry, I... I'm not quite sure how that one slipped out..."
(Translation: Liyue is off for the better because of her and she would know because she's seen the nation at much worse.)
Another fun fact: Yae Miko holds Ganyu in quite the high regard as her voice line indicates. The voice line also implies that she would do this quite often and naturally, she would be friendly and almost fond of her in this sense.
"Hmm, now that you mention it, it's been a while since I last saw Ganyu. Before the Sakoku Decree came into effect, the two of us would often meet to discuss bilateral relations between our two nations. I always found her quite reliable. The next time you go to Liyue, take her some more fresh Sea Ganoderma for me."
(Translation: Not only are we besties, we try to keep in frequent contact.)
Why am I bringing this up?
Because despite Ganyu's distaste for rumors and how Miko thrives off of it and loves digging around for the source, their friendship works. And it's beautiful.
Another post about little nuggets of character interactions, lore, and other things I notice brought to you by 'this fandom has not paid enough attention to [insert gripe here]'. I'm quite glad that you like getting these. I quite like sending them.
NARKY PLEASE THAT SIDENOTE T_T I do quite like getting these. May Narky's miniseries continue!
Ganyu has never struck me as someone who values productivity and efficiency, that feels more like Keqing's domain. Rather, Ganyu as a whole seems to be someone who wants to be that way, but finds it difficult (based on her voicelines about Rex Lapis and she talks about avoiding major mistakes after a few HUNDRED YEARS OF EXPERIENCE???!!)
That said, I interpret her outburst re: Beidou to be more of outrage that such unfounded rumours are swirling about someone close to her.
Fact that she told the traveller, though, suggests she might be a little loose-lipped sometimes... and knowing Miko, she's probably already extracted a thousand juicy nuggets about Liyue's icons from Ganyu. WHICH IS FUNNY.... MIKO PROBABLY KNOWS EVERYTHING ABOUT THE CRUX'S ILLEGAL WORK FROM GANYU LMAO
Ganyu's so shy and Miko's so good with people, I can imagine her just following Miko around and answering her questions and inadvertently revealing too much along the way...
And Miko just laughs and finds it entertaining because Ganyu's fascinating; she is half-human and half-qilin, she has perspectives of the mortal and immortal worlds that Miko can't even dream of experiencing, being a kitsune herself.
I like to think "bilateral relations" is just their work cover for meeting. Like sure, they talk and they get work out of the way, but I'm sure theirs is a special friendship: they are, after all, two immortals living amidst mortals, and Miko was lonely for centuries with Ei in the plane and all of her youkai friends dead :(
Miko's view of the mortal world also seems to fall in line with Ganyu's. I like to think she learned that partly from Ganyu and her centuries of working alongside humans!
Also the interesting thing is Ganyu doesn't have a voice line about Miko, so we're left to wonder what her opinion of Guuji Yae is. It's also interesting that Ganyu is the one who represents Liyue in bilateral relations... she's the General Secretary!! Shouldn't one of the Qixing be involved?! Or perhaps they see value in having a half-qilin cultivate relations with a kitsune? After all, Ganyu has seen multiple generations of Qixing come and go, and Miko has outlived countless shrine maidens... how did this unlikely friendship come about, anyway? We'll never know until Ganyu talks about Miko...