The first step is to observe. The main diference is a slight color on the first image.
Technicly that is a duotone, it is the easiest way to work it anyway.
1) In Photoshop, convert the image to grayscale Image > Mode > Grayscale
2) Convert it to duotone Image > Mode > Duotone
3) Choose Duotone on the dialog box, not tritone, or monotone.
4) Choose a black ink and make the graph straight.
5) Choose a second warm sepia like color and play with the curves. The exact color and curves requires some experimentation.
1) Go to curves Ctrl+M.
2) Select the red channel. Move up a bit the graph by the center. For precise control on the input type 128 and the output 138.
3) Now choose the green channel. Again move the graph and now type 128 and 133.
The exact values are a matter of try and error, but the main idea is that that redish cast is on the brown area, so play with the red and a bit less on the green.
You probably need some corrections before coloring it.
I would first of all desaturate my example image and try to correct my image in a general way. Soften the skin and brighten the eyes for example.
Then, play with the curves to match the overall skin tone. Do this in Lightroom to mantain as much info as you can.
After that, I would try to match the color cast.
P.S. In the photo shoot, try a softer difuse light, and use a wider aperture on your lens.
This lens aperture makes a huge diference in the photo.