I agree.. I'm so sorry you have to make this decision. I think that if Allie is nervous about the vet, home might be better... I'm sure the vet can handle things or she would not have offered... but of course it's a very personal decision. You know yourselves and Allie best. Personally I know I would prefer the privacy of my own home, where I don't have to face people, where my dog feels most relaxed and peaceful, with all the familiar things he's used to around him.
Whatever you decide, I am sure that will be the right decision for Allie and for you both. Sending hugs. :grouphug