Yeah she has major issues admitting she might be wrong about things 
Dad asked how it was going and if I felt ok not eating carbs, how much veg I'm eating, if my tummy was ok with so much fat (I don't have a gallbladder). He also asked if I'd researched it properly and was I confident this wasn't going to cause health issues long term.
I asked what health issues he was concerned about and the only ones he named were gall bladder (lol) and heart disease. I then chatted to him about the studies I'd read about the link between heart disease and saturated fat. He's a lecturer so loves a good study 
. The one he was most interested in was the Framingham study so we had a lovely discussion about epidemiological methodologies vs clinical settings, and how you'd double blind a nutritional study.
This is the kind of conversation my mum LOVES normally but she didn't contribute and that was really tough. You could see she wanted to jump in so I steered the conversation into study methodologies in general rather than specific nutritional studies but she was having none of it.
To be honest though, at this point I've bent over backwards to justify my WOE to her and even in the face of overwhelming peer reviewed evidence, she's still not accepting that I might be right. To me, that makes it her responsibility to accept it or move on now, not mine. I've done all I can to help her understand.