Using Photoshop:
1.
To remove the wall:
Use the clone tool. Sample a clean area of the background with the CLONE TOOL and then paint away the wall.
2.
Eliminate the shadow on the woman's face.
You can select the area with the shadow and apply a selective curves adjustment. Or you could use the DODGE TOOL to lighten the area. You might want to duplicate the image before you apply the dodge tool. This will allow you to lower the opacity of the duplicate layer or use a layer's mask to bring back some detail from the original image below.
3.
Remove hair flakes on eye.
At the current scale, I really couldn't see any, but the HEALING BRUSH or CLONE TOOL could easily remove any stray hairs. You would sample on a clean area on the eye then paint over the stray hairs on her eye. The sampled area will replace what you paint. The key is to keep resampling and do a little bit at a time. Also work with your brush size at the same size as what you are trying to remove.
4. There was a slight color cast so I removed it with curves. Then I finished with the Unsharp Mask (USM) to sharpen the image just a tad.
These steps may confuse you at first, especially if you are brand new to Photoshop. There are numerous tutorials on this web site and bit by bit you will get more comfortable using Photoshop.
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