Helping A Frozen Rosemary Bush?

I just bought a rosemary bush (still in it's original pot) and dumb me left it out and it froze. Well, the leaves are brown now. It still smells wonderful. Now I see 3 or 4 little green shoots coming from the ends of the stems. The thing is pretty much brown all over.

It's now inside and I tried to "thaw it out slowly" by running lukewarm water through the pot real well. Since I'm seeing a few shoots of green now, I don't know whether to cut it back or not. If I do need to cut back, how far. It's already in enough shock already. Can it be saved, I hope and how do I do it?

Also, like I said it still smells wonderful. Even though the plant is brown (from being frozen I suppose), can I still use the leaves and dry them for cooking. I also put them in essential oils and things along that line. Are they safe to use when they are like this?

Thanks for your help in advance!

Jenny in KY