Albedo is playing with the Ainz dolls when she's interrupted by Ainz, but she's happy that Ainz will be talking with her or giving her an order. But her mood suddenly changes when Ainz mentions that Tuare has been abducted, she's fast at reading the situation and knows that Ainz will be ordering her for preparations to save that girl.
She still does raise an objection whether there is any value in saving an inferior creatures such as a human. She's also shocked after hearing that Ainz promised Tuare (an inferior creature according to Albedo) protection under his great name. She accepts the order but we can see that she's unsatisfied and not happy about this.
Still I don't understand, Ainz Ooal Gown. This is ridiculous.
It's probably about the fact that AOG was originally the name of the guild. So she probably just doesn't like the name, because it also refers to the other supreme beings that abandoned them. She hates that Momonga changed his name to that of the guild which abandoned him and all of Nazarick. She hates it because they not only abandoned the NPC's but they also left Momonga all alone (That's why the flag hung at the back is the Momonga's personal flag and the one trampled is that of AOG).
Ainz is incredibly lonely. It is just not showed that well in the anime
Today is the last day Yggdrasil's servers will run. Why not stay until
the end - Momonga after Herehero-san logs out.
Albedo created an elite group in order to search for players in the new world, but it is also implied that she made the group so that she could kill the other supreme beings if they ever showed up (this follows up according to the @paul's answer above and makes sense)
Momonga loves his comrades dearly and knows their situation (about the server being shut down and their personal lives at stake). He knows that they didn't betray him but Albedo (being an NPC) is unable to comprehend it at all.
No, that's not it. No one betrayed me. The guild weapon, Staff of Ainz
Ooal Gown. We played recklessly to make it. Some members used their
paid vacation and others fought with their wives to make time and get
the materials for this... That's right, everyone's livelihood was at stake.... It can't be helped that they all chose real life in the end