Yes its been hard to get rid of the fat phobia lol. I was also wondering about calories ? Do we need to count them as my fitness pal said I can't eat more than 1500 odd cals to lose 1 lb a week...
With ME/CFS, I've really had to prioritize immediate health over weight loss. There are simply some days where my body does something crazy and I either need to eat more or I'll crash. So first and foremost I give my body what it needs at the time, and I don't worry about calories until I'm doing better.
Plan on having days off from a diet, especially since you have CFS as well. It's never going to be simple, so all we can do is accept that and work around it as best we can. The other thing is to avoid behavior that will increase hunger. Too much activity (pretty much any) tips me over the edge, and I either have to eat too much or crash. I choose to eat too much, and don't lose weight that day, but then I'm feeling okay in the following days and can get back on track with food. Basically - good pacing can help with avoiding excess hunger.
The other thing is that getting on a proper low-carb high-fat diet is a pretty good hunger quencher. Fruit (not berries) is absolutely awful for causing blood sugar spikes, which can also cause further cravings for me. Similar with the processed grains. So replacing those pure carbs with fats, or carbs which have proteins and fats in them, probably could help with hunger.
Regarding the fat phobia, it can help to keep in mind that the human body needs fats and proteins, far more than it needs carbs. Fats are used to keep our cells healthy, and proteins for our muscles. Some fats do have a bad reputation, but the right kinds of fats don't really have a downside.
Finally, it might be a good idea to set your weight loss goal to be slower. Instead of 1 pound per week, you could eat a bit more and aim for half a pound per week. That's still 2 pounds per month, or about 25 pounds per year. That's nothing to sneer at, especially if it means that you aren't suffering in the process.