Counterplay to Neeko support?

If she ever lands a root she does so much damage afterwards it is almost impossible to survive. Her ult is impossible to dodge if she runs on you and you don't have mobility. She does, again, a crazy amount of damage with that. The area of effect of that ult is gigantic. She often mimic her ADC too so I don't even know when I can safely go further to farm. What can I do? I need to be crazy good and dodge every root but even then she just needs to ult me by running towards me. I really cannot deal with this.
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