That could be a good avatar, but does not even qualify as a logo.
I would not put any image of Alizée on a logo, just her name. With putting just her name in the logo, we are implying that our support is timeless.
If we put an image of her, someone can think subconciously that we have favoritism for one era of her career. Besides we will get tired of watching the same image of her after a year...
Am I making any sense? Sometimes I confuse myself