A while ago I went to China. After visiting Hong Kong, where I had a few friends who lived there to help me out, and the city itself is fairly westernized and friendly to foreigners, I flew directly into Xi'an.
Xi'an is where the Terra Cotta warriors are, but despite those being a fairly large tourist attraction, the city itself is very...Chinese. Very few people speak English, and for myself who had never been alone in such a foreign place before it was bewildering. I finally understood the concept of "culture shock".
I was only planning to be there for one day, and I wasted most of the morning trying to get a train ticket to Shanghai. It was getting late and I couldn't figure out how to actually get to the place where you could see the Terra Cotta warriors. I'm a naturally shy person and the idea of flagging down a stranger who didn't speak my language and trying to gesticulate and get my point across was terrifying.
Still, what it came down to, was that in all likelihood I was never going to be here again in my life. And did I really fly halfway around the frigging world just to get there and NOT go see the damn Terra Cotta warriors? There was no way I could let that happen.
So, ultimately, I just got over it, walked up to the first friendly looking person I could find, pointed to the Terra Cotta warriors section in my guidebook (where the name was written in Mandarin) and made some inquisitive noises. He ended up pointing me towards where I could catch the bus, so I got there with plenty of time to see them and make it back to catch my train.
I know as far as "adversity" goes it's pretty lame, but it was a big deal for me. What inspired me to persevere was the simple fact that, really, it was the only way to get what I wanted. That's what it comes down to. Do you want the thing you're going after more than you want to avoid the obstacles in the way? If you do, you'll keep going.