Potentially goes against the lore but obsessed with this idea: reader is Obi-Wan’s Padawan but Anakin, misinterpreting his feelings for teachings, thinks he’d be a better Master. He realises it’s not because he wants to train her but because he’s jealous Obi-Wan gets to spend so much time with her and he doesn’t. Something like, on a mission, reader gets hurt and Anakin says “if I was the one training her, this wouldn’t have happened! I can teach her power you don’t have.”
definitely goes against the lore but i love the idea because you're on to something...
i can definitely see anakin skywalker acting out like that. he's so self-assured, "always" in the right, and knows he's just that jedi, you know? like he embodies everything a jedi should be better than anyone else. He alone stands atop the pyramid of power, grasping at the fringes of influence as well to build himself and everything he was meant to be up. why would his influence not extend here as well?
anakin gets so worked up quickly over the thought that his former master could harbor feelings. who would he be if he didn't intervene??? anakin would become kind of possessive of your training, slowly stealing your hours away with long sessions of sweat-filled combat, holding firm in his belief that this is for the better, to get you away from obi-wan's grasp.
i can see him having "training sessions," which is really him teaching you, holding firm to the notion that his master didn't teach you the right way. slowly, he takes over your training, (i'm going off the assumption that this is during the clone wars where anakin isn't obi-wan's padawan anymore) and he does well to make sure obi-wan doesn't know. whether it's for his selfish reasons or sense of justice remains unknown. he craves it needs something to justify his rash actions and unstable thinking. his poor conscience demands it.