I saw that relationship as someone who never got to be a kid, being drawn to a guy with a certain emotional immaturity. He's a Jedi, which in their world/galaxy conveys a certain level of respect and awe, as well as disproportionate capability and competence. The Force, after all, is not some One-Poweresque ability that can be readily misused or abused in ignorance or carelessness - it requires discipline and some kinds of emotional control, regardless of whether you are good or evil. Therefore, by all the rules and social perceptions, Anakin is mature and capable and her peer in ability and responsibility, and therefore somewhat acceptable, unlike the typical kid her age (assuming Luke in the beginning of aNH is typical of kids their age in Star Wars), but at the same time, he has this very innocent view of right and wrong that he even applies to politics, and an openness and lack of reserve, an irrepressibility, as it were, that is very much outside of her social experience. For someone who has had to keep it all buttoned down, and been exposed to the ins-and-outs of practical politics (a subject that Bismarck compared to sauage-making, in that you don't want to examine the process too closely), and realities of the limits of political idealism (such as she articulates in the first film), that kind of attitude is an interesting novelty, and combined with the isolated & idyllic circumstances of the courtship, followed closely by the life-or-death stresses of their subsequent Geonosian adventure, could very plausibly lead to exactly the sort of impulsive & romanticly secret marriage that occurred. This is a literal Romeo & Juliet story, not in the popular usage as an example of forbidden love between irreconcilable backgrounds, but in the tradition of Shakespear, who was writing about two stupid hormone-driven kids who dove into a disatrous relationship far too fast and caused widespread tragedy.

While Anakin & Padme might not have, in the course of the films, any sort of reasonable basis for an appropriate & genuine relationship, if one recalls that their marriage was NOT a healthy thing, but rather the means of his inevitable fall to the Dark Side, then, seeing it in the light of an impetuous and immature union, it is just fine. The problem is, there is not much portrayed of this story, and the pieces are largely left for the viewers to put together on their own. It should have been more explicitly portrayed as the doomed & foolish course of action it is in hindsight. Instead, whether through the fault of the acting, writing or directing, it looks like a superficial, plot-driven romance that you get in the typical Disney cartoon or fairy tale.