Seeing as that between 80 and 90% of women do not orgasm from PIV sex alone, there are other ways to enjoy sex than to seek "orgasm during intercourse." Most women have orgasms from clitoral stimulation, with or without different types of stimulations. I've been having sex for over 20 years, and I don't often have a first orgasm during PIV. I need oral sex, and usually a vibrator while he helps in some other way. When I was younger, I only needed the oral sex, but people's sexual response can change with age and time.
Many couples concentrate on one orgasm at a time. Usually (if it's a hetero couple) dual stimulation, then working on her orgasm first (many women have their first orgasm with a partner from oral sex mixed with digital penetration) then having PIV sex or fellatio and working on his.
If she can come from masturbation, she can let him know what works for her, and then he can copy it. What they are doing when the orgasm happens isn't as important as doing what it takes to MAKE it happen.
I would not call her "non-orgasming&qu ot; as that is a woman who doesn't have orgasm yet. She can have orgasms, why does she have to have them in ONE certain way? She needs to communicate to him what works for her and he can use his hands, his mouth, toys or whatever it takes to make her happy. She may NEVER have an orgasm during PIV sex, but coming anytime during the whole sexual experience is often as good or even better.
Personally, I wouldn't put too much stress on "orgasm during intercourse" as there are other ways to achieve climax that may suit her better, and also make a better lover out of her partner.