There is no statistical evidence that even remotely points to her being broken.
She's sub-50% winrate
https://i.gyazo.com/e58762936ee461ea7522655b4f202245.png
the only value she has is a super telegraphed nuke that's extremely easy to avoid.
Can't see it coming until ~.25 seconds before it hits you if she can do the qqr combo. Which is still incredibly easy, you just need to press r as the star is passing you.
Her passive doesn't do much, her W is only good when allowed to be through RNG
Her passive might not do much by itself, but when combined with w (the bubbles proc passive) you can run through a field of sums in teamfights and get a crazy amount of free AoE damage. Note I don't think this is bad, it actually allows her to have skill expression.
her E is minion-blockable and single target CC
4 second total cc with an above average projectile speed and ~2 second down time in the mid game. Not to mention getting hit is basically an assured death.
and her ult is only used for range increases
I see you are not familiar with Zoe, her ult has a plethora of uses that extend beyond just a "range increase". Maybe you should go watch some high level game play before making a thread.