xayah is broken

Xaya isn't broken, people are just stupid with how they fight her. Her feathers recall in a straight line, so if you move left or right you will avoid most of her E's damage. Her W damage is tied into her attack auto-attacks and attack speed. Unless she has both at a decent number her W doesn't do much. She presses W you back off because it doesn't last very long if she does reach that point.

That is all she has though. Her q is meh, and her damage is average. Her E is her only real burst and you have to actually be in between her and her feathers to be hurt by it. If you are just standing still letting her auto you to death, and die from her E, that is on you. Just kite her to a side and her E is useless since you are not going to be in their path. Her W is only so/so at early levels and again, it is nothing massive damage wise early on.

You seem to love near to completely immobile "juggernaut/tank" melee champions as well as the occasional GP/Veigar game. It should not supersize you that she out damages you (being an adc) from range. Maybe take a more mobile champion like Yasuo, Riven, or something similar if you must play a melee.

I notice you also do not build very much lately. She is countered by this item quite a bit (especially her W) and I would advise keeping it in your build. At least buy is giving you too many issues early on.

Trust me, she is not that if at all broken. She just might seem that way to you because she counters your preferred play-style pretty heavily.