How to fix the green area when replace photo background

I built a selection area over the girl, then cut it into a new layer. but the color has a problem, some edge area has color mixed with the original background color. How to fix it? Hue Saturation are not worked, because it affected the whole image.
20201101-003527GIMP 20201101-003558GIMP

Since most of the problem area is white, you can create a desaturated layer on top of the image and use mask to show the new layer only over the affected area.
That leaves the suede part of the shoe. For that you can create a layer filled with opposite colour of the background color and again brush that new layer in with required opacity.

Thank you, you solved my problem, the result is much good!

Glad it worked out!