Aside from the list of resources from
@Stephen Palmer ...
There are some things to consider.
If it were possible to separate the consciousness from the body and put it somewhere safe; and then download it to some VR; and then, when a body become available, return it to a body. There are some things that might need consideration.
One being that a lot of emotional reactions have to do with things learned over a period of time.
For instance:
When I was about 8 or 9 years old I witnessed someone in the playground getting smacked in the face by a bat while playing softball. Massively broken nose, yet probably lucky to survive.
Not long after that, another time, after everyone was told to cease activity; I myself ran between two who thought that didn't apply to them and was hit with the bat; I was too tall to get hit in the face but had a sore shoulder for a long time.
fast forward to little league and while up to bat I was struck by a speedball in my shoulder. The patented response to this was, walk it off. Which I tried to do. The next time I was supposed to go up to bat...I couldn't do it. I also had trouble explaining why. Anyway after that I quit little league and really have since never enjoy sports.
There was fear involved and the question is where did that fear reside--I can sort of guess where it came from, but not where it lived.
The point is that some of that might be carried in the consciousness along with some residing along the entire body; the nerves. Yes the body does tend to forget the pain over time, but some of consciousness tends to try to send memories out there sometimes.
Maybe all of this could be summed up with the question, "Why do some amputees' still feel the ends of their fingers or toes".
I would think that your scenario might be much like a dreamer--maybe lucid dreaming--where they at some point will notice something is amiss and wonder what it is and then realize they must be dreaming. At some point they might try to wake up and begin to wonder why they can't. However, VR would be different enough that they might realize it's VR--if they know of that possibility and then conclude that they might not be able to wake up(nowhere to wake up to except some storage unit somewhere). Then the question that might come in here is, "Where does panic reside". I'm not so sure you can take all the emotion out though you might take the feeling out(even so the mind might say, why didn't that hurt, or burn, or even tingle a bit)it might try to force some feeling and maybe at that point comes the panic because what is remembered no longer is.
Wherever the mind is--in a harddrive, in a complex quantum state, or still in the brain--all wired to either or both of those, the condition of that state might determine what they feel or don't feel. If there is no emotion and yet some sort of consciousness then eventually they might question what's wrong with them. Unless they are in some sort of induced dream state then they will try to wake up and if there is no body to generate the feeling of hands and feet and arms and legs they might panic or the consciousness' might try to lull them with some false feelings.
However, I think it will all be based on what their consciousness expects.
[I do think it might be better to store the damaged person in their body in an induced coma until another body is available--makes more sense. However that might negate the fun of having no emotions.]
The lack of emotions would be driven mostly by a lack of coincidence of something being wrong which would suggest that they are deluded by something similar to the effects of some drugs.
Anyway--not all readers will think this far--so good luck with however you decide to drive this.