This is not a diet that functions primarily via calorie restriction but rather via metabolic adaptation to fat as a fuel followed by hunger regulation. Only after that do you get body fat losses.
The adaptation period is usually 4-6 weeks. The rapid weight losses some people see is nearly all water weight that comes off suddenly when they drop carbohydrates. But you were already low carb prior to going keto and cannot expect much water losses if any. So right now you are in the adaptation phase.
It’s perfectly normal not to lose any fat in the first month on this diet as your metabolism and hormones adjust. The reason for this is that your body is not yet at all efficient at fat burning and you get hungry easily. As you fat adapt you will become less hungry and will easily be able to eat less. You can force yourself to lose weight earlier by adding some time restricted eating or short fasts, for example, but you will likely be hungrier than you prefer until the adaptation is further along. So whether you go this route is up to you and depends on what sort of a hurry you are in.
My recommendations based on your food choices are the following:
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Get rid of that protein shake. It’s only taking your protein far over your macro. I don’t lose fat if my protein is in the 80 gram average range and I’m 5’5.
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As soon as you can tolerate it drop the fatty coffee too. Consider making lunch your first meal. Preferably have no calories at breakfast at all.
You need to lower your insulin to lose fat. This is done in two main ways. The first is by controlling the amount of insulin stimulating foods that you eat. Carbohydrates are the biggest source, but dairy and protein have significant insulinogenic effects too and should not be overconsumed especially if you feel you are stalled. Second, increase the duration of your long fast (dinner to sometime the next day) to allow your insulin to drop as much as possible. The lower it goes the more you burn your own body fat.
Now, you are not in a stall at this point. You are in the adaptation phase. If you are patient you can wait for your hunger to naturally drop before even thinking about such adjustments. But if you are in a hurry and don’t care that you might initially feel hungry in the mornings then go ahead and drop the breakfast. The loss of hunger adaptation will still come in a few weeks either way.
And do not calorie restrict at all at your main meals. Eat until you are well satisfied. And make sure your meals all have both both protein and plenty of fat from real foods. It’s this combination that will keep you satiated for the longest post meal period.
Good luck. I hope this helps.
