Ray is correct, Deflection is simply part of physics, if something pushes hard enough it will repel whatever is in the way.
If you put a long bar into the lathe and clock up the deflection on the end of the rod, it will be greater and greater the further away it gets from the chuck. What you're observing is completely natural. Put a center on the end of it or a steady, and the deflection will be lessened. This physically demonstrates the advantages of turning with support on two points when using material over a given length.
There is no such thing as zero deflection or perfection for that matter. You are always turning or making something within limits of error from forces beyond practical control. Even if you put a heavy piece of stock in a vice, i'm sure with enough leverage you could get it to move a bit.
If your machine is doing this under the slightest touch, something hasn't been secured properly. I take it this chuck has a backplate mounting, are those bolts firmly holding the chuck and seated in its register?
Without actually seeing this machine i could spout a boatload of advice that has nothing to do with your particular problem, but if it seems something is integrally wrong with the machine, such as movement of the bearings in the headstock, you need to talk to warco about it.
Michael W