I would definitely wait at least another month before making this sort of decision. The primary goal of this way of eating, apart from the restoration of metabolic health, of course, is to switch the muscles from metabolising glucose to metabolising fat. At only 4 weeks in, you are by no means fully fat-adapted yet.
As far as losing fat is concerned, it often takes women’s hormonal systems a month or two to get sorted before serious fat loss begins, so give yourself more time. Plenty of women on these forums have stories to tell of having to wait for results to start happening.
Be sure that, in addition to keeping carbohydrate low, you are giving your body adequate calories. The way to do that is to eat to satisfy your hunger, not to rely on some app—and most especially not an app that has been set to “Weight Loss.” (“Maintenance” also skimps on calories, but it’s somewhat better.)
The body responds to short rations by slowing down the metabolism to compensate. It responds to abundance the same way, by using all that energy to take care of tasks it had postponed. There are plenty of posts in the Newcomers forum giving the details of the biochemistry involved; suffice it to say that the types of food we eat and eating an adequate amount of food are both essential to losing weight.