Jespersgaard: Normal Quen will not, but the alternate mode will protect you fully (and hits will heal you while it is active).
However, I think I know what you are looking for when speaking of this "glow". There is a quest in Blood and Wine which will award you the silver sword "Aerondight" (Yes - the one from The Witcher). This sword will generate charges when you kill monsters without taking damage. I think this is the visual effect you are thinking of, but I could be wrong.
I sold my Aerondight as its specs did not match what I had.
Ingsoc85: Aerondight is for fighting monsters, so it's unlikely to be it.
Would help if the OP would post a link to the video he refer to.
Here it is: www.youtube.com/watch?v=A5SDI9LPbx8