Most importantly, the camera panned over to where she was looking, a banner of what I believe is the Guild symbol torn off the wall and thrown on the ground, then a banner in the background behind her, and Albedo is showing disgust towards her orders. There seems to be a lot of emphasis on those banners, so what exactly was going on in that scene.
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.
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)
She's showing contempt over the Ainz Ooal Gown banner, and worshipping Momonga's personal banner. She was made to love Momonga through her settings, so she's not really happy with him dismissing that name. She wants him to be Momonga, not Ainz. Another factor of her discontent is the fact that the rest of the NPCs of Nazarick would obey their creators orders before Ainz' (she questions them about this), so aside from Pandora's Actor, she's the only other one that would place Ainz above any other of the 41 Supreme Beings. Ainz taking over that name was done to raise awareness of the name to lure any potential comrade that might have been transported to that world, a prospect that Albedo seems to not be too fond of since it would lower Ainz authority in her eyes.
Let's say for example Peroroncino ends up being in the new world and joins Nazarick. If he were to order something to Shalltear that would conflict with an order from Ainz, Shalltear would comply with Peroroncino's order. This is not acceptable for Albedo. Momonga's authority should be unshakable in her eyes. 59ce067264