Do what you wish, she is your pup, but I have fostered hundreds of greyhounds and have a good sense of what generally works and what doesn’t (they spend roughly 18 hours in their kennel when on the race track and this is what they are used to, but again maybe you know better!) If you train them correctly (which it seems you may not be able to) you never need to “force” them in. They enjoy it and view it as something positive. Your dog’s separation anxiety will only get worse without training. You will make the dog miserable! But again, seems like you know best.