I kinda forgot about this Emotion Powder guy completely, so, there are few possibilities it seems.
There is another time travelling organization besides Spacea and Tiempa company, which would make 4-6 sides to this conflict: Spacea-Tiempa, Team Xen, Arceus Cult (i.e. Theolia and Darkdevoir) and White Organization (by their clothes), also it is possible that Crescent and Puppet Master are either with White Org, or working alone (or together). Also the wild card here is April-Krystal with Nim, as we also dont know on which side are they. However, it should be noted that judging by what Red Haired Girl said, Whites are trying to SAVE the world, whatever that means for them.
However it is the petrification that interest me the most. Since we have clearly seen only 2 (i think) situations, where people were petrified. 1) GDC incidents and 2) Nim petrification. And one thing i would like to notice, is that it seems that both of them can be cured, in fact, Nim came back to life after it. So i think that opens up another possibility. That Madame X is Nora.
Taelia basically sacrificed her life, protecting Nora. And she doesnt really understand human emotions, because her soul was taken.