Hi Bedanta,
I am no expert, but I am trying to learn the skills and my thoughts and suggestions are as follows...
They are written in the context that this is deliberately a shot of your father reading a book in his study - so the setting works for me.
It is twilight outside, so what very little light there is in the room
apart from the lamp is going to be blue (a much cooler colour temp than the lamp light).
His pose looks
a little uncomfortable, I don't think I'd read with my right arm held like that for any length of time, but (to me) the books style suggests a longer read.
Agree the nose highlight needs toning down in post processing (PP).
Yes the light source
is hard, but we can see what it is, so I can live with the hard quality of light, also the direction.
If it was shot RAW, you may be able to effect a less orange WB in post processing, but that will make the blue in the lamp's shadows even stronger, unless you decrease the midtone/shadow blues in PP.
If I were shooting this scene again, I would try a large* piece of white card/foam core board, which I'd position to camera left, between the camera and bookshelf, passing your father's right elbow, keeping it
just out of shot (it will need to be close). This should fill the shadows with reflected lamp light, giving a bit of detail in the unlit side and aiding separation from the background.
* at least 1.2m (4 feet) square, lifted somewhat off the floor, so it extends from above his head to below his elbow, and adjust angle for effect (not easy if you and he are working alone). You may also need to be careful that the angle of the glass in the book case door doesn't let us see this though. It will (unavoidably) be visible in the lamp glass though, so keep an eye on that in case it looks too unnatural in the environment. Maybe my idea won't be practical - I don't have the experience to say.
Talking of what's visible reflected in the lamp and glass; I might clone and/or dodge/burn to give more 'narrative' to the blue light source, but also remove any unhelpful bright blue spots.
Can I ask if the moon was actually visible out the window?
There seems to be a bright blue spot to the window light, as seen in the lamp glass.
My thinking in using a reflector rather than fill flash (or another light source) is that it should give the correct ratio without overpowering the main light and also be the same colour temperature without recourse to gels (albeit they're simple to deploy with flash).
Hope that helps you as much as it has me in thinking through how to resolve the issues presented by the scene and also what I wouldn't change - e.g. I think the framing/composition is very good, in fact as an environmental portrait, I'd say you're 80% there already, but the last 20% makes a lot of difference.
Of course, another way to deal with different WB light sources is to process to B&W, but that would lose something of the appeal in this case. I think some locally applied PP could improve the shot, but filling the shadows more when taking the shot is preferable.
All the best, Dave
PS for Izzie
The lamp is a warm colour temp and the camera's white balance (WB) is closer to this than the remaining ambient evening light coming through the window and flooding the room. So, especially where the lamp light is not, e.g. directly below it, the (probably) white table cover will pick up that blue cast - the fact that there are two vastly different WB sources being seen adjacent to each other (in the light/shadow patterns) makes this more obvious.