What in the flying fuck is wrong with the damage in this game???

Im morgana, level 5. Facing a lvl 6 Zed, only has a dirk. He ults me, misses all of his spells. He then autos me twice and puts ignite on me, and he does 80% of my max hp. What in the flying fuck? How can he deal so much damage while missing his spells?? Where is the counter to that???? How am I supposed to dodge his autos and ignite?
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