Dodging Annie's Q/Stun is possible - here's how:
Okay, so this requires some luck, timing, and you also need some movement speed/flash.
I know, it sucks you can't really dodge it once you're in range without these but w/e.
When Annie hits Q, you can actually back away about 70-100 units if you're at very edge of her range and it will not hit hit you. If you flash in a diagonal direction and away from the stun about 70-100 units or just vertically away from it, it will not hit you. If you are Yasuo, if you quickly E away from it, it will not hit you.
However, the time you have to react and the speed of her Q makes this hard to do. This works as I've tried it.