Zoe is not a hard champion. First try her in practice tool vs a bot.
Your E range is increased if it passes through terrain/towers etc.
Use Q in the opposite direction where you want it to go, then recast. The farther it travels, the more damage it deals. Can also be used with ult, for example:
R back, Q back, your R returns you, recast Q forward.
Or Q back, R forward, Q forward.
These are the basics and basically all you need.
Q can be cast at the sides or forward and recast again forward, if enemy is hiding behind minions/yasuo wall or running away, or is too close and your almost dead.
Playing with R while enemies try to ult/skill shot you and casting Q, E while you at it, may turn the fight in your favor.