The first is a lot less "classic" through the way it was composed, but the missing chin was the very first thing that jumped out at me, and I had to take a second look to see of not even the lowest part of her lip was cropped a little. Which it wasn't, but the edge of the picture is sooo close that I can't easily look past it and enjoy the half-smile and her eyes (which seem kind of soft, though when I look at her individual eye lashes and hairs of her brows and the reflection in her eyes and her irises etc, I can't really call that "blurred" or "soft" ... everything's there and clearly distinguishable, even the individual hairs).
I am a) old, b) probably conservative and c) a sucker for things "classic", so I must say I find the second is a beautiful portrait of hers. I like the light, I like open smiles (!), but I do agree, of course, in that the first is nicely DIFFERENT ... if it weren't for the close crop to her lower lip.