Losing fat is nothing more than, in order of importance...
1. Caloric deficit
2. Macros
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types of foods we eat.
Eat healthy for your health, and eat low carb for your diabetes. However, low carb/low fat is simply a means to decrease calories.
That said, until you start tracking what you eat every single day (one day is never an indication of your true eating habits and patterns), we can't determine what needs to be adjusted
Oh, and I just noticed how old this post is. Probably long gone by now.