Hi Leah,
Thanks for your question! Here are the
pet relocation requirements for New York (United States). Bringing Bella back into Israel will mean meeting
these import requirements. Honestly we usually advise against bringing your pet along on long-distance trips when it will just be a vacation rather than a permanent or long-term move. You'll find that the costs of the endeavor, not to mention the time it will take to prepare and the stress it will place on your dog, may not be worth it for a quick trip. (The decision is up to you, of course.)
In terms of sedation, this is not recommended (actually you will probably not be allowed to fly if an airline thinks you have sedated your pet). We do recommend choosing a pet-friendly airline with established safety policies (thus her sensitivity to cold shouldn't be an issue because responsible airlines do not leave dogs on the tarmac).
Please contact us if you have any more questions, we'd be happy to be of further assistance!