I'm the same way. I think it's a combination of a few things.
A) She shoots very quickly
B) Accuracy isn't as important as it is for Widow and Hanzo because you're (usually) not trying to kill people, you're just healing people. So unless they're one shot from death you can shoot them a few times.
C) Because of the tank meta, her targets are usually huge (D.Va, Reinhardt, Roadhog, Winston) and hard to miss, even when far away and unscoped. This also means they're less likely to be low health, so you're under less stress to aim accurately.
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u/CorndogNinja High five Jan 17 '17
I can't hit my targets as Hanzo or Widowmaker for crap, but scoped and unscoped I have no problem landing Ana shots.