Egwene learned compulsion from Moghedien and how to counter it. This being Egwene, she either pulled out from Moghedien that there were subtler forms of compulsion, or figured it out herself. We know Elayne and Nynaeve did:

Some of what the woman knew was just too repulsive. Compulsion, for instance, bending people's will, and a way to implant instructions so the recipient would not even remember the orders when he carried them out. Worse things. Too repulsive, and maybe too dangerous to trust anyone with. Nynaeve said they had to learn
them in order to learn how to counter them, but Elayne did not want to.

Its highly unlikely that Egwene wouldn't get suspicious if she woke one day to find herself more mistrustful of Rand, or the Asha'man. Either way, we've seen her express sentiments contrary to both these, so its not like such a compulsion is even likely to exist. And nor would Aran'gar have been punished if she had succeeded in something like this.