You can not just copy and past a program from one location to another without telling windows what you did with it.
If you are not using something in windows, it can be removed from add or remove programs under "turn windows features on or off".
If you need to free space, It would be better to remove the hibernation file if you do not use hibernate and reduce the page file size if you have lots of memory.
Now if you want to move a program of game that is not a part of windows. You can copy it to another drive then create a Juction to the folder on the new drive(If effect the program/game will appear to be on the SSD, but in fact be on the HDD. This avoids reinstalling). This way, Windows knows the game is on another drive. This is not a beginner thing but you can get some software to make it far easier.
If you want to do this, say so, I will try to explain it.