Hello and welcome to Just Answer.. My name isXXXXX am a licensed veterinarian and will be happy to help you today..
I have seen this before with a handful of dogs where the cold temperature of the ice can cause a vaso-vagal repsonse and lead to vomiting. It is usually not a huge concern, but if for any reason she was to quit eating or drinking, or start to have diarrhea then I would strongly encourage a vet visit.
If you want to play the safe card and since she is 6 you could have routine bloodowkr just as a wealness screen anyway
We have not noticed those symptoms. I will bring it up at our next visit with our Vet, but I wanted to know if I should be immediately concerned.
Thank you, XXXXX XXXXX be in touch with our Vet for a routine check in rather than as an emergency.