Dangers of low fat?

I followed the NHS/DUK low fat diet for years, until crippling muscle pains led to a radical change of diet. My HbA1c rose to 6.8, which does not seem high enough to cause debilitating cmplications - complications which were reversed by a low carb & increased fat diet.

Could my muscle pain problem have been caused by insufficient fat over a long period rather than elevated blood glucose? My HbA1c was 6.8 which my Dr did not consider unduly high.

Is there a minimum fat requirement?

Thanks for comments & links. I can't take statins - they aggravated the neuropathy. My cholesterol was 7.6 on diagnosis, now 5-5.5, & I play tennis so see plenty of sunshine (when available.)

When I spoke to DUK Careline, she suggested that rather than low carb being of any benefit, I might have become wheat intolerant. I don't know whether that suggestion was at all informed, but Geoff's suggestion makes sense. Low carb is necessarily low wheat.