My opinion on Zoe
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Shes a burst mage. Her full rotation SHOULD be able to oneshot a squishy champion, and her main skill should be scary. People don't call for nerfs to Xerath because his Q does 1/3rd of an ADCs hp from max range.
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Its preseason, where every squishy (and a few bruisers) deletes every other squishy. Especially while there is no innate MR, we shouldn't jump to damage nerfs just yet.
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She has a 40% winrate, 2nd lowest in the game. If she was properly OP it wouldn't matter how good people are or aren't with her, it wouldn't be THAT bad, maybe 45%
Her Q is just fine. So its a high damage ability on a low cd, most mages have one. Its a bit more damage than most, but it takes more effort to land than most, and compensates for her W not really being a damage spell. Also its range is shit if you don't combo it with R and/or Flash
Her W should probably be less random. Some games you get Flash, exhaust, and barrier in roughly 3 minutes from minions. Other games you get ONLY CLEANSE 3 FUCKING TIMES IN A ROW in the first 10 minutes (against Akali...). I don't think creeps should drop summoner spells, just items, and they should do it every other wave, on the cannon.
Her E, THATS her bullshit ability. Why does it get a cd refund!? Its such a powerful ability, and its about a 5 second cd if it hits something (and CDR capped, at level 13+). It does good damage, 440 base with 80% (AP HALF OF WHICH IS TRUE DAMAGE WTF?). Plus an extremely forgiving hitbox. IMO it needs a range cap besides 'The longest wall i can find, plus a little bit.' I'd rather it was a slightly longer base range that doubled when it passed trough a wall. And get rid of that damn 30% CD refund and true damage
TL:DR Shes fine except for her E, and her W could use some changes for consistency