I think one of the most telling instances of her inconstancy is with regards to Verin. After her vehement 'better dead than collared' and 'better dead, if it's for the good of the Tower' self-delusional BS POV, one would expect her to come down in harsh judgement upon one who, even if contributing to some kind of greater good, made the decision to join the Black Ajah rather than die right there on the spot. But instead, because Egwene only sees her star rising as the one who rooted out the BA (and, granted, her 'I'm ultimately on the side of the light' inspiration to do so as well), she's all 'oh but your soul is pure white, dear Verin'. I'm sure if she were in public, and her position and appearance of authority were in view, she would have probably said 'thank you very much Verin but tower law says we execute you. Goodnight!'

But it's exactly that shifting moral compass and the ability to sniff out what is the appropriate way to appear to humanly interact with some and act as the Amyrlin to others that Egwene has a virtual Talent for, and while it makes her a somewhat reprehensible human being, it does make her about the best an Amyrlin could hope to be.