When you sensed she was a "little off", you should have remembered your "certification" training.
On the phone? There's no cert training saying you shouldn't see them if they seem off on the phone.
When I was new to insurance I would have driven there no problem as well.
One thing I will say to the OP, after a while of getting your feet wet you'll probably try to stay clear of obvious Medicaid appts. Sure, sometimes it's an easy buck but in my experience, they fall off the books too easily and they will call you the most