Less established roses are more susceptible to shocks, and having a cold snap down to the teens after it had started putting out new growth is definitely a shock. I would definitely WAIT, and see what it does - hopefully it will recover.

Jackie

Prune your canes more than likely the inside pith wasn't healthy even thou the canes are green. Green canes really mean nothing up here. I have tons of green canes left after winter. But very few of them are healthy. If it was a grafted rose I hope you buried the graft under ground. Other than that prune to healthy pith. that is the inside of the cane. It must be white to apple green not tan or brown.

Anna's Promise is not a cane hardy rose in zone 5 but is crown hardy.It will regrow canes in spring each year. An exception to her recovery would be if she used up all of her energy trying to regrow on bad canes.

I am in zone 5b and had some similar weather. Half way through March all of my roses were putting out buds and I was really happy they survived the winter so well. By the end of March there were lots of new leaves and they looked really good. I thought to myself, they're really going to be off to a good start but I knew it was a little too early. Then we had a few nights of late freezing in the 20s. I expected I would have some problems. Most of the roses had some degree of foliage damage and are coming back from that okay. I did have 2 roses, though, that had some pretty severe cane damage. Issac Perreire and James Galway both had to be pruned pretty much back to the ground. I thought Issac looked like it was in the worst shape, but it's already putting out new canes and seems like it will come back okay, although definitely set back from where it was. At first James Galway didn't seem as bad, but over some time it became apparent that the cane damage was more severe than I thought. I haven't seen anything coming back. It's too bad because even though both were just bands last spring, they both grew a lot in there first year. James Galway particularly was about 5 feet tall, had several good canes and a very nice vase kind of shape to it. Now I'm not even sure if it will survive.