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Have a Snickers. Because you get emotional, whine, and tilt when you're hungry.
Better? Good.
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Add Sejuani, Taric, Lulu, and Leona to the list of who can lock her down and help with the burst. Nasus whips out wither, slows her down, ripping away attack speed as well, bonks her on the head, and scampers away. Trundle can cripple her also. She has one movespeed enhancer, tied to her heal, unless she runs Talisman, Righteous Glory, or Youmuu's. Keep her slowed, and she's just lost a ton of her power.
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Her ultimate lasts only a few seconds. During that time, you blast her with CC, and then when both wear off, you hammer her with all your damage. "TOO EASY, PRIVATE!"
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Lulu works wonders if built AP, for dealing with Kayle. Kite and zip around for days. Polymorph, slow, and shields to keep Kayle hamstrung.
The meta is constantly shifting. Champions have faded and come into the spotlight in various roles. Whining about your comfort "meta," or what is "meta," wastes time that you can use to think outside the box, and improve. As for your "two shot tanks, one shot adc/support," I call bullshit on that, barring Kayle coming in on cleanup duty. Unless all you knuckleheads decided to go full ham offense builds, or went into "Minions Panic Mode" the moment "A Wild Kayle Appears!"