Hi ~ Welcome to the board. Things slow down here on weekends so be patient while you wait for replies...Monday will pick up.
I've had two dogs who had/have terrible anxiety.
The first one had separation anxiety but was non-stop hyperactive/restless. I used a pheromone product for Honey and what was then called an anxiety wrap for separation anxiety. The pheromone product is called D.A.P. Although I used a plug-in version near where the dogs slept, I don't advise that. It's messy...the oil gets on the plug-in and outlet. It comes in collar form and I've seen that one in action. You just leave the collar on. https://www.amazon.com/Adaptil-Calmi...ollar+for+dogs
The anxiety wrap was the precursor to the ThunderShirt and worked wonders for isolated instances....not a leave-on thing. You need to sensitize your dog to it during calm moments so that it will work during stressful ones. https://www.amazon.com/ThunderShirt-...shirts+for+dog
Both of these products can be found elsewhere (and you need to be mindful of proper sizes) but Amazon is handy for my purposes.
My present girl, Sunnie, has what I'd call generalized anxiety. No separation anxiety. (and neither dog was/is destructive) Sunnie is scared of noises, being manipulated (tooth brushing, nails, etc.), changes in routine (taking too long to get her food mixed)...that kind of stuff. The DAP collar was too strong for her...it scared her to think there was an unseen dog around, apparently (I used it when I first got her and she was, unknown to us, pregnant)...and so did a ThunderShirt. Go figure.
I found a great homeopathic product for Sunnie. It's called PetCalm and it's by PetAlive. I recommend the granules and not the liquid. https://www.nativeremedies.com/petal...-granules.html It's expensive but they always have really good promotions (buy 2 get 1 free is ongoing). You give it away from meals (clean mouth) three times a day. The real obvious change in Sunnie was that she no longer flies out of the kitchen when I open the fridge (!)...she just barely avoids the door touching her.
I'm sure there are folks here who'll have suggestions for the destructiveness, etc. but I don't have experience with that. I hope with time that Violet will ease into comfort with you and her new surroundings. But some dogs are just wired to be anxious and also have sensitivities (food, skin, hearing, etc.). (I've had Sunnie's puppy Danny since he was about 40 days along still inside her and with age he's developed more and more issues with anxiety, too....and I know for sure there's no "reason" for him to be that way). Unless he's just witnessed Sunnie's bouts of trembling with no apparent cause and it's weirded him out. But I suspect genetics. Per the DNA test, there's Poodle, Aussie, and Husky in the mix...breeds "known" for being sensitive. The one puppy I've been able to keep tabs on has also grown into sensitivity.
Anyway...welcome to you and Violet.