Best bet is to contact the TSA for the most current information on what is required. https://www.tsa.gov/travel/security-screening/whatcanibring/items/insulin
I would gaurantee you would have to get some documentation from doctor and if possible have her take her shot prior to flight. I not sure how often she needs injections but best just to pack away in luggage for non issue.
Contacts TSA
You can Always Fed Ex it overnight as a precaution ahead
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