I know all about that! For the first few years I had to keep chicken wire around mine until they were established and sturdy enough to put up with the rabbits. Every winter the rabbits prune them, and chew quite a bit of bark off of them, but they always have survived. At least so far!
Yes, it should grow back again, unless you planted it just this year. Give it plenty of water and wait. If you don't want a repeat of it, you will have to surround it with a fence. I have to do that with my veggie garden or they eat everything that comes up.
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