Limited experience here. I think you may be a little outside the hardiness zone for Toon there Faustina. According to
pfaf they are suitable for zones 6 to 11:
The fully dormant tree is hardy to about -25°c, though the young growth in spring can be damaged by late frosts.
Plant them out in late spring or early summer and consider giving them some protection from the cold in their first winter outdoors.
They are supposed to coppice well, so an established tree may resprout from the base if damaged by frosts.
Mine hasn't thrived here, although it seems to overwinter OK (mild and wet) I think it would prefer a warmer summer to put on more growth. I did transplant mine to a slightly sunnier spot and it did seem a bit happier this summer. I haven't tried pruning mine at all yet.
My suggestion would be to let yours get to a reasonable size before trying to overwinter outside. If you have more than one plant, maybe cut one right back and mulch it well before winter as I think that would give it the best chance of suvival. Pollarding would give sprouts at a handier height, but you're more likely to lose the trunk in a hard winter.