To (perhaps) break down the politcal moves more clearly:
Gareth Bryne gives Egwene advance notice about the army in their path
Egwene sends her minions to start fanning flames among the Andorans and the SAS
Egwene waits for Romanda and Lelaine to set up the meeting so it looks (to them) like it was their idea
The Andorans (partially due to the prompting) don't take the SAS leadership seriously
Egwene makes the deal to diffuse the situation (by Travelling before they reach Andor)
The Hall, annoyed that they weren't take seriously, not realising Egwene set the whole thing up, and unclear on the legal specifics, vote to give Egwene more power
(FWIW I liked this arc.)