I'm not sure that if she's panting a lot, it's only a "she needs to calm down" issue. Personally, I'd take her into the vet to make sure there isn't an underlying issue with that first. If there is no health issue causing it, then maybe try one of those calming sprays on the market. I hear some of them work very well.
Also, congrats on your new little one and welcome to YT! Would love to see pics