>>1731222As you say you have not done many I can tell you it looks decent for your third attempt. Your cuts are a little rough, you need to practice cutting curves. I would recommned also that you not be afraid to cut away a few more pixels closer to the actual image, when back at 100% zoom if done right many won't notice that a bit has been cut away to help keep it smooth. I say this because along your image the background can still be seen most likely due to not cutting away close enough to the edges of the image. That or your cuts are not leaving decent feathered edges where transperancy is needed.
In my example image I just quickly took whatever version of that image I had and did a 20second cut with the Free Select Tool in GIMP. Left image is yours, right is my example, top images are twice the size, bottom images are 100%. Take note of the smoother curves and the point that the hair flows into at the end. The resulting image is smoother and less jagged. This is not the best image to give examples on as the artist has some interesting straight lines in place of curves, especially along the hair.
I'm sure other people editing have many ways they complete the renders, only way right now I can see to help through my experiences is to tell you to cut more off so that the background doesn't show through and practice keeping curves smoother. The more renders you do the easier it becomes to still follow the curves and edge or in some cases just cut until something becomes smooth. I'm no expert but I can see your edit is a bit too rough.