Convenience
Aang wasn't accustomed to things turning out good or beneficial just because luck had allowed it to be like that. He wasn't used to things just happening and finding any enjoyment from it.
But that changed.
After the war had ended, Zuko had asked for them all to stay at the palace with him for the most part, for the spring and winter seasons. They could travel where they wanted to have free time from the political meetings and gatherings in the summer and part of the fall as a reward and to revel in the peace they'd worked so hard to accomplish. It was a good deal, and all four of them agreed to it.
Although Katara and Sokka were a little disappointed that they couldn't go to their home in the dead of winter, which they said was actually really refreshing (And thought they were crazy, what was 'refreshing' about feet upon feet of snow?), they enjoyed it in the fall all the same. Naturally, they pulled along their other two close companions along with them.
Toph didn't like the cold and the ice, the ground so far below it made her feel a little lost. But Sokka seemed willing to help her, just like Katara was willing to help Aang become accustomed to the culture.
He liked the weather and people well enough, he found himself enjoying it, if not only because of Katara's constant words of praise. Except for the guys of similar ages; the ones that would grin and wave at Katara as she was at the market, or helping build the city with her amazing waterbending. She, of course, was too naïve and dense to realize the root of their interest.
But the airbender did, and he didn't like it. He didn't want to seem possessive or angry at nothing, but he was still worried.
Then luck and fortune shined on him; literally. Because Katara's necklace she'd inherited and still wore every day that glimmered in the sun made those boys turn away with downcast eyes.
Aang knew it was a misunderstanding, she wasn't engaged (yet). But he just couldn't find the heart to go out of his way to solve something so small. And who was he to tell others what to think, when he walked with her holding hands or being arm-in-arm and pulled her close to steal a kiss. It seemed if you were engaged to the girl, PDA wasn't such a problem.
And he felt a little wicked, when he was finally sixteen and allowed to marry her, when the boys noticed and seemed to spit fire at how her necklace had changed. But she was still with the bald arrow-headed boy – how was that possible?
She had blinked those entrancing blue eyes a few time before explaining that she wasn't really engaged before; the first necklace was a heirloom. The necklace she now wore Aang had made, and she was now legitimately engaged.
Aang would then take the opportunity to grab her arm and resume whatever they'd been doing or walking off to, innocently whistling a merry tune as he did.
Life sure was good sometimes; it had a way or working everything out.
