Richard, I highly recommend Shoot Point Blank in Knoxville. Website and contact details here : https://shootpointblank.com/location-knoxville?utm_source=google-my-business&utm_medium=listings&utm_campaign=gmb&utm_content=620-corporate-point-way

Buds Range and Gunshop in Sevierville TN is about 29 miles from Knoxville, and they offer a couple classes a month, there's 2 coming up, one on the 17th, then another on the 19th.
Pregistration is required
budsgunshoptn.com/event/tennessee-handgun-carry-class-12/2021-06-17/
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And if she needs additional training beyond that, the instructors there know the area and can give you much better referels then guys who live in Oregon (me) or North Carolina (James, and Randy)

I would contact your local Sheriff or Police department and ask for recommendations