It's not exactly a secret that I ship Obi-Wan/Padmé, and that I've done so for several years now. Of course, this is partially the fault of Katie, who rightly calls herself my enabler and who has shipped Obi-Wan/Padmé since way back when Episode I first came out. But I really do see the potential in this pairing, and I love it just as ardently as any canon shipper likes their ship.
Originally, so I've read, George Lucas was actually setting up for a love triangle in Episode III, as a possible contributor to Anakin's fall, and while I'm not favourably disposed towards infidelity on Padmé's part (I think it would have been too out of character for her, not to mention for Obi-Wan), I do believe that a love triangle could have made for a slightly more believable turn to the Dark Side. Matthew Stover actually deals quite brilliantly with this concept in his Revenge of the Sith novelization, suggesting that Palpatine made Anakin believe that Padmé was having an affair with Obi-Wan so as to destroy his trust in his two closest friends. It works great - even though no such adultery is actually going on - and I say this not just as an Obi-Wan/Padmé shipper but as someone who greatly respects canon.
That last point is one that a lot of bashers don't seem to understand, and I really wish they would. Lots of people enjoy non-canon ships while still liking canon. It can be done, trust me! That's why I'm always baffled when bashers accuse me of hating George Lucas or of wanting to destroy what he created. Yes, the movies have faults, and yes, I don't agree with every decision Lucas made. But you know what? I LOVE STAR WARS. Period! I love the lightsaber duels and the action sequences and the moral messages and good triumphing over evil and yes, even Anakin/Padmé (for I'm also a multishipper, another cardinal sin). And even if I don't like bashers and they don't like me, we are nonetheless bound together by our overarching love of what Lucas created.
I wish more people would remember that.
(Also, I'm greatly amused that BSG slipped into the Writer's Block question, hehehe. XD)