In the books at least, the oaths are not just something somebody says, and it's totally a matter of honor whether or not one keeps the oath. In the books it is clear the Aes Sedai take the oaths on an angreal and that the oaths are binding on the bodies of the women who take them. They literally cannot say a word that is not true. They literally cannot fashion a weapon by which one man (or presumably any other person can kill another. They literally cannot use the One Power as a weapon, except in the specific instances listed in the oath. So if the One Power were to work the same way as in the books, Elaida murdering Siuan with the One Power would mean that Elaida is a Darkfriend, something she very much is not in the books. Note that in the books, anyone condemned to death by the Aes Saedai is beheaded with an axe.
As for killing Siuan off, they did it to avoid using series time on the Siuan/Gareth subplot. It's not that the acing in such a subplot would be beneath a good actor's talents. Good actors have been nailing such subplots for hundreds of years.
To change the subject just a bit, now that Loial is dead, who's gonna finish his book?