Container grown Tree Peony in winter

I bought and planted a Tree Peony in a large pot in spring. In all the info I have read, it states that Tree Peonies need cold in winter to develope next season's blooms and are full hardy plants. However, this mostly applies to specimens planted in the ground.

There is some indications that this winter's weather will be pretty much like last year - quite prolonged cold weather with snow. Do I need to insulate the pot to prevent root damage or place some straw/bark over the crown to give it some protection??

Any feedback much appreciated. Thank you.