As long as you don't mind burning/dodging, you might give the woman a cheap face lift by dodging the shadows in the creases in her face. Not that she needs it ezpecailly, but vanity for free is a good thing. I can't tell if I'm jus kiddin or not.
I wouldn't mess with the shadow on her neck. Nothing there that really matters in a portrait.
As for the black thing growing from her head. If you can't or don't want to clone it out. don't shoot it. The important thing to learn, I think, is to look before you you leap. If you don't want that thing and just can't part with it, don't shoot it.
A huge difference between a camera and the human eye, the camera records what is there, to a fault. The human eye very nicely ignores the details. Practice and learn to see what the camera sees.
I think Howie is on to something here. I'm still bored so I downloaded the image and played around with editing along the lines he suggested. Cloning out the black thingie makes a huge improvement. In addition, I just noticed that there is another face which looks directly at the camera, though it is out of focus, and I find that this detracts from the impact of the photo. A crop job on the guy in the bottom right, and a bit of the top of the picture maintains the format and improves the composition too. The model is then moved a bit off center, providing more space in front of her. Works for me, but there's no explaining "art."