At one point, they'll be a battle. Adolin will end up in a tight spot, perhaps he'll fight the new owner of his blade, perhaps not, but he is struggling, after all he does not have shards anymore. Most likely Adolin will end up in his predicament while doing something rather reckless, brave in order to protect his family, yet again, even if they shut him out, even if they ostracized him for having killed Sadeas, despite all, Adolin will still stand up for them.
Unconsciously, he'll try to summon hos blade, after all, it is nearly a reflex for him, he hardly realize when he is doing it anymore. But the blade belongs to another. He'll try nonetheless. It won't work. The fight, the war whatever, will go badly, he'll probably get hurt, it is clear he is losing it. He'll try again, but this time, he'll remember the name he's heard before. He'll call her. Desperately. He needs her. And she'll hear and for the first time in thousand of years, she'll see. She'll see Adolin fighting. She won't want to hurt him, not him, not the nice kid who always talked to her. She'll break the bond with her holder and she'll fly to Adolin.
Adolin's blade will materialize in his hands as it always does when he summons it, but this time, it will be glowing, red. The fight will turn over and Adolin will win. When he'll try to dismiss his blade, it won't work, the blade will just take back its spren shape and they'll meet for the first time.
I like everything you said here and I would love to see Adolin revive his shardblade. He already seems to have a kind of link with de blade...