can i get a blue badge for my daughters car as she drives me to every appointment
The blue badge is issued to the individual who needs it and not a vehicle so you would need to apply for it in your name.
It can then be used on any vehicle that you travel in, for example, if someone else takes you to an appointment in the event that your daughter can't the badge can be used in that vehicle.
This is explained here on the citizen's advice website:

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