I'm one of those rare sugar cravers who always ate breakfast. It was my favorite meal of the day - now that I look back, it's obvious why! (100% grain&sugar&fruit breakfast, anyone?)
But it was a small breakfast - I tried to keep it at 150 calories! I first went to 21gm protein (3 eggs) because that's what Radiant Recovery (sugar addiction program) recommended and held there for a year or two, so that was my first gradual transition. Then 50g wasn't too hard, and I actually liked it so much I was afraid I'd be really upset when it was time to move down! Same thing moving to 65g (I needed that to kick the binges for good), but my fears turned out to be unfounded.
Anyway, there *are* a lot of people doing the LR who did have a hard time with the breakfast at first. Some needed to just make themselves do it, and it re-arranged their want/need all by itself. Some needed to start with just a little and work up over a few weeks. Everyone needs to work at it every day.
Eventually, I stopped needing 3 meals/day. I naturally started dropping lunch in November 2011, and haven't needed it since. Not trying to IF, just don't need to eat then. Whether you eat lunch or dinner, even from the start, is up to you, but breakfast is absolutely necessary to get the circadian things going that are needed. Distending the vagus nerve to trigger the hypothalamus, triggering gastric acid secretion later in the day, all that good stuff.
Just keep in mind that you're not likely to lose weight at first. Few women do. But if you have trouble with food cravings, constant hunger, sticking to the food that you'd prefer to nourish your body with, poor sleep, low energy, or a few other things, the leptin reset could be what you're missing to get the body to the point it can start to release what it doesn't need.