I am not a portrait photographer, but my friend said she wanted one for her friend in africa. CandC welcome
What everyone is saying is valid... if the intent is to have a traditional "Studio Portrait".
I don't do studio portraits myself. I do a lot of People Pictures though, and have been for 50 years.
Your shot isn't a studio portrait style photograph, and at the opposite end of the spectrum for people pictures it isn't Street Photography either. It's one of those inbetween things. It's a portrait for sure because the subject specifically is the person. But you seem to want a little of the environment for context, and it's also clear this is meant to show the subject's character. It does that extremely well in a very artistic manner.
As to the framing: "Art is the elimination of the unnecessary." And I would challenge as to what is missing that is necessary! The cropped parts aren't necessary. And while the background is just enough there to provide environmntal context, it is blurred enough to reduce the dominance sufficiently that it is not a distraction.
The lighting of the face is fabulous, at least for what I like. Maybe nobody else does, but I just love the unbalanced nature of the eyes, with one much more prominent that the other.
Technically a photograph is a means of communicating a concept into the mind of a viewer, and compositionally this image restricts entropy in the structure of the visual symbols to a reasonable amount. The effects of the compositional choices made are that it becomes a very interesting, rather than a bland, image that clearly describes the character of the young lady pictured. What else is there???
The quote about what art is, is interesting. The guy who said that was once asked "What is art?" and answered "What isn't?"
Pablo Picasso.