There are certainly clues that Sansa will not take being overlooked by her own countrymen lying down. In an interview with Variety, Sophie Turner shed some light on what Sansa is thinking now that Jon is King:
"She’s of course happy for him. He’s family. But there’s a certain level where she doesn’t feel like she’s been recognized for the fact that she effectively saved everyone’s asses and kind of saved the day in the Battle of the Bastards. So there’s a certain frustration there.. a little bit of frustration and hurt there — hurt that he didn’t say anything or hail her as Queen of the North."
It's absolutely correct that Jon would never have survived the Battle of the Bastards, much less won it, without Sansa. Jon ignored Sansa's pleas to delay the battle until they could bolster their forces with more men. It was because Sansa reached out to Littlefinger, who delivered the Knights of the Vale to their rescue, that the Starks finally eradicated House Bolton. In turn, Jon continues to ignore Sansa's sound advice, such as when she urged him to give the castles of the traitorous families who fought for the Boltons to the families loyal to the Starks. (Though Jon has a point about not punishing children for the sins of their father - something the Starks know quite a bit about.) Even when speaking privately, when Sansa urged Jon to be smarter than their father and brother (both of whom are now dead for making stupid mistakes), Jon was dismissive about listening to his sister.
The truth about Sansa, which Jon alluded to with suspicion, is that she has learned many lessons Jon has yet to learn. She learned them the hard way, and her teachers were Cersei Lannister and Littlefinger, two of the most ruthless and calculating minds in all of Westeros. Sansa learned from Cersei about how "dirty the world really is" (which her father tried to shield her from), and she's right to fear Cersei's ability to find a way to win and murder all of her enemies. Littlefinger also taught her how to see the game board, see many moves ahead of your opponent, and to do whatever is necessary to survive and conquer. Jon's tendency is to react to the problem in front of him; Sansa has learned to see the dangers all around. In addition, her brief, brutal marriage to Ramsay Bolton was a painful reminder of what kind of pure evil there is in the hearts of men.
Turner has also alluded in an interview with Digital Spy that Sansa will become "unlikable" again in season 7 - albeit in a different way than how she was despised by fans in season 1. Though Sansa has "no desire" to sit upon the Iron Throne, likely frustrating Littlefinger's dreams of ruling Westeros with Sansa at his side, her immediate future seems destined for a showdown with Jon over control of Winterfell - especially when the day comes that Jon's true lineage is revealed to all. We don't know what the future truly holds in Game of Thrones and who will survive the wars ready to explode in the final season, but by this stage in the game, Sansa Stark has proven herself to be a survivor who has achieved success against all odds. By all rights, Sansa should be the Queen in the North, and after all she has lived through, Sansa now has the cunning, motivation, and if need be, ruthlessness to make it happen sooner or later. If and when she does become Queen in the North, to quote Sansa herself, "Would that be so terrible?"
Game of Thrones season 7 airs Sundays at 9 Eastern/8 Central on HBO.