You've gotten over many difficult things in life. This difficulty may require different skills to overcome, but you're probably capable of it. You'll probably find it rewarding.
I did.
If all you have for work and pleasure involves sitting at a computer then you are cutting out a large part of being alive. Plus you are risking your health. You typecast yourself as a nerd but that does not mean you must handcuff yourself to a computer desk.
Edit: one other benefit, if you find a wall you can just go during its open hours and meet people after you get there. In my experience, people will see you struggle with something and swing by to give you a quick tip ("try putting your feet a bit higher", "try using your left hand over here", etc...)
*Indoor because its less intimidating and the walls often have custom made climbs for various skill levels.