I've fixed a few bent pins, my advice is to use a good macro cellphone to watch what you are doing at a decent magnification, I've had good luck with a safety pin bent open, also, SMALL MOVES. Don't attempt to push it all the way back in one movement, just nudge it a little, take a look from different angles, see which way it most needs to go, push a little, look again from different angles, rinse repeat.
The pins are springy, but only in the direction they are meant to be springy, you will likely only get one shot, if you go to far and push back the other way, it stands a good chance of snapping off. That's why I stress small moves towards the goal, so you don't overshoot. better to stop a little short but still close enough to work than go to far and break it off trying to go back.