Kayle ult

The cooldown of this ultimate is much too short for laning phase - late game, she should have it in every big teamfight, but a 100 second cooldown that is reduced to 70 seconds because Kayle's gets 20% on her core and usually runs 10% in runes so she can have perma E is much too strong in laning. If you ever go in for an extended trade, she'll pop ult as you reach her, smack you with E, and when you attempt to dissengage (remember, very tough to dissengage properly since she's ranged and you need to burn a gapcloser to get to her), slow you and speed herself up and slap you to half health, whereupon you can no longer engage on her even though she doesn't have a major cooldown due to being low health. You have two minions waves of time to engage on her until her ult comes up, and to begin that time, you are at half health, and she's at full health.

I'd like a longer cooldown at rank 1 so her using it in lane is actually consequential, instead of it literally being up the next time I go in.

As I probably can't 100-0 her, I need to pull off at least two rotations, first without ulting, and second with ult, in order to kill her. Meanwhile, I need to eat all of her damage during this, due to needing to back out (assuming I'm gated by cooldowns) and taking damage on the way back. That's plenty of time for her to take out the half of my health bar which I started with. Oh, and the timer starts with all my abilities on cooldown, since I need to go in before she ults. And as another safety net - she has flash.