She def has the juice to kill jon among her people. Dothraki and unsullied wouldn't hesitate.
It's not about wining or losing for her directly it's about how she's winning or losing as we saw last episode
She is the queen that they officially recognize. As queen she made Gendry a lord everyone cheered.
The attention wasn't on her for 10 minutes and she got so insanely jealous the room went silent for her and she left mad as shit lol
So if after you defeat the night king in the greatest battle in history of men for all the stakes you can find it in your heart to be jealous and petty and mad over some innocent shit like that don't doubt for a minute she wouldn't hesitate to kill Jon if it came down to it
Another thing going for Jon is she knows he's honest and really means it when he says that he dont' want it he loves her and she's his queen.
If she thought he was lying about that he would've been setup