FWIW, I introduced my wife to the game of golf and have helped her along the way. In her 5th season of play, she finally broke 100. My wife was fairly athletic as well having played softball in HS and she bowls well if that counts.
Anyway, we used the hole-to-tee approach. We started in the basement during the winter months with balls and a putter on carpet while watching college and NBA basketball games and putting during timeouts and commercials. Trust me, true beginners don't even have an understanding of how much swing is required with a putter to move the ball 20 feet.
In working with my wife, it made sense to let her kind of feel her way through some things herself. Then, I would offer some alternatives that might be more comfortable to her and possibly deliver better results. A putting grip is very personal and there are so many variations. She now putts with 2 fingers of her bottom hand overlapping her top hand. Nice and compact putting grip. She started with a baseball grip! Today, putting is a strength of her game.
When spring and warmer weather arrived, we hit a local practice facility. Took the SW and putter. Taught her the basic chipping and pitching strokes. As soon as she could hit the ball first and get those chips airborne and going in the general direction of her intended target, we moved on.
Next step was half-swing 7-irons off the mats and short rubber tees. When those shots started flying I handed her a TM 460cc driver. The first one that flew and went far I knew she was hooked.
This is her 6th season and we play a decent amount of golf and try to take 2 golf trips a year in late fall and early spring. She plays ok today and has lessons paid for this season with a real professional whenever she can get them scheduled. She'll probably continue to improve and enjoy the game for a long time.
One more thought: When my wife started, I bought her one of those full-bag sets from Adams. All we did for the first 2 seasons was pull clubs OUT of the bag that didn't make sense for her game. What she played with the first 4 seasons was a driver, #5 hybrid, 7-9 irons, a PW, SW and putter. Let's see, that's only 8 clubs, putter included.
Noobs are always saying, 'what club should I hit?' When you take away half of the clubs that a beginner shouldn't be hitting anyway, the club decision becomes much easier. Driver off the tee, 5 hybrid until you get inside 100 yards. Then it's a 7 thru SW and then a putter to finish up.
Good luck with your student. Give her the basics. If she enjoys the game and wants to continue playing, lessons with a teaching professional is probably a really good idea.