Here are the explanations necessary for the realization of the tail and the wing.
For that, I used the colors DMC 3842, 517, 930, 931, 932, 310 and B5200.
The blue lines mark the direction of the stitches in the main part of the body of the bird as well as in the movement of the head. The red lines indicate the direction of the stitches in the lower part of the body and that it is absolutely necessary to respect it to obtain a complete and coherent shape (which I did not manage to do at first sight). The green lines correspond to the direction of the stitches for the realization of the wing.
I marked the part I propose to embroider first and which represents the shadow.
Embroider the marked part with the color 310 black.
First embroider a few stitches at the bottom of the tail with the 930 color, then continue with the 517 color, marking a line that goes up to the top of the tail with the same color.
Finish the tail with the color 3842 without forgetting to embroider the white line with the color B5200 and the shade under the wing with the color 310 black.
Mark the outline of the feathers with the color 310 black.
Now embroider the color 3842 at the ends of the feathers.
Fill the lower part of the wing with the color 517.
Add the white stitches.
Now embroider a few black stitches with the color 310 in the upper part of the wing.
Embroider the color 931.
Fill with color 932.
Finish with some black stitches and some white under the beak and at the base of the neck.