She's weak. But you'll never get anyone to agree. They will just mention how much damage her Q does.
The fact I have yet to see another Zoe in game just doesn't seem to register for anyone. The fact that her Q isn't that easy to land. People liken her to Nidalee, but Nid could do her damage and not get in range to get insta-killed.
Q - Hard to land with the boosted damage. It flies so far away, and despite the numerous voices of idiocy that seem to think the projectile is fast, people easily see it coming an side step. But why sidestep when an minion will inevitably move from where it was standing to get in it's way. Seriously, every single friggin time a minion will just out of the blue move, and block the thing. Then there goes all Zoe's damage. Tack on to the nature of how champs keep friggin moving while casting and you have to factor tons of things in just to get a Q off.
W - Mostly worthless... and it's annoying having one power that never seems available til much later in the game and losing out on the orbs that fly off and hit things.
E - This thing consistently doesn't go where indicator says it will. Seriously, such a triggering ability that the damn thing falls short or farther than you think it's going to. Also I've had so many time this thing swipes through a champ and just keeps going. It's like WTF. Minions block the thing, doesn't go where you want, and then when you finally get the thing to hit someone it just flies through and does nothing. Good luck landing your Q on someone who is paying attention without E. Hell even landing E so many factors pop up and tend to block the Q.
R - Using this and then an ability seems to mess up aim. R, use an ability, it veers off to the side of where you were actually aiming. Like what in the actual fvck.
Honestly I wanted to like her but she just seems like trash. More I use her, more people getting used to how easy it is to avoid her 1 damage ability, then proceed to murder her face because there's nothing you can actually do. The only thing you can do is passively farm safely until mid to late game when you have people distracting players so you can use your gimmicky one shot. Which is boring and inane and just effing stupid. Feel like a support needing help from players just to be viable on people who have any semblance of awareness.
,
(< being the only one here i would say was overall ok) 
release anyone?
and now 
.
ulting under a turret while you are away from his spam combo. 
ult dodges, etc. But the fact that there are plenty of times you get hit out of nowhere with a Q that kills you instantly is a problem, 
Q was notorious for doing shit tons of damage, but not this level... Riot themselves thought nidalee doing nothing but spam spears was unintuative gameplay, so they make a champion designed around SOLEY throwing out 1 spell.
