If you drive a car she should add you as an associate membership. If you ever need the service, the $30 or $40 it costs a year is more than worth it, and you can also get all the AAA discounts.
There are very few properties that actually need to verify the card, but they are out there. As mentioned, if you are both staying there, just add her name to the reservation, they won't care who shows the AAA card if they ask.