Yes, I'd remove the browned off stuff. It will probably require only touching it with your fingers and it will fall off.
Unless the tree is dying, it will probably not lose much more of it's growth, and come back strong in the spring.
I would not feed it anything now. Heel it in under a mulch pile and let it ride out the winter on the south side of the house, out of the wind if possible.
"As the twig is bent, so the tree inclines"
"I rarely agree with most of what I say........." -
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