Agree: coming in tight to use her amazing hair as a framing device would be very effective (just try it on the monitor).(posted 8835 days ago)Disagree: don't use a hair light, too cliche'.
In addition, lighting the background with a gradient from dark at left to midtone at right would really make her stand out better without resorting to the trite (I hate 'em) vignette burn on the corners. And as a last observation (too much?) slightly less fill light might suit her expression better and at least reduce the second catchlight to a less prominent intrusion. (sometimes I over analyze, it's really a fine portrait)... t