Some things rolling around in my head:
I'm curious if Jon's death will have any effect as in he will now be able to control part of the "dead army" as he could be kinda like a white walker now. I wonder if his eyes turn blue when we see him next.
Or maybe he is the Anti-White Walker but will have powers over the dead, like to raise his own dead army.
If not maybe since he died, it's used to just release him of his vow, technically his watch ended with his "death". Curious to how it plays out, as none of this has been written, the show is making it up as they go along now.
Dragon glass, Valarian Steel, and Fire are the only things known to kill or destroy a white walker, so This makes Brienne of Tarth's sword, Jamie's sword, and Jon's Sword pretty relevant, along with the Dragons as to how the "Winter" will play out.
What I can't remember is when they killed Ned, Tywinn had Ned's sword melted down and made into 2 swords, was that Jamie's and Brienne's or is there also another?