I was wondering some things about Ji Yeon recently, and conversation on the TLC blog spurred me to finish this post. For instance:
(1) Since her conception was caused by the island's influence, will she be different physically? Do the island's EM effects at the early stages of fetal formation create a mutated species of some kind? Even though its influence has been cut short by Sun leaving before the complications set in, perhaps enough time passed for Ji Yeon's growth to be affected or mutated in some way.
(2) Is she the first one to be conceived on, and born off, the island? Maybe the uber-team's Miles, Charlotte, or Daniel were conceived on-island too -- we've already gotten hints about Charlotte -- they seem to each have special intellect or cognition. Ji Yeon might have some too.
(3) If so, will her future and the island's be entwined? According to the enhanced version of her episode, Ji Yeon means "flower of wisdom"...she might be a spiritual leader of sorts on the island when she's older.
(4) Was Sun able to get herself and the baby off the island, because the island allowed it? This could imply that she was saved because she is needed on the island in the future, or that she will help her mother control the forces against the island back in the world, via the newly revised Paik Industries' corporate mission under Sun's control.
It's all up to TPTB how they run with this part of the story, of course. But her complicated conception and time being vulnerable to the island's influence, does inspire much curiosity about her physical attributes and her future. It kind of reminds me of Paul Atreides' little sister in Dune, who was subjected to the Waters Of Life when her mother drank it while pregnant, and Alia is born a cognizant super-being. Maybe TPTB gave us a hint during the scenes at her birth, when she went from being in distress one minute to miraculously being born fine (and very quickly!). That is, if she is a "special" island-conceived baby, maybe she already has the power to control her environment (the same question could be asked about Locke's birth as well). Or, her birthing twist was just a quickie plot device to ramp up the drama and then set up a red herring in the process. Well it's a long hiatus, this is just one aspect to cogitate until next year.