Originally Posted by RCIX
The importance of dodging her Q is to know which way it bends
Sometimes its even better to use gapcloser to close in and dodge her Q,
because its curved, you can run straight into her face and dodge it, the weakness on her Q is cooldown, and Diana players tend not to R unless they hit a Q on you.
Or play a high range free farm champ like Syndra (that range on Q) or Teemo (lay a shroom, afk)
Or any champ with snare / silent, if she dash at you, snare her and walk away (prevents she R twice), or silent her and hit her.