Hi
@Lindainms. It is wonderful that you want to start a niche of selling soaps for folks with sensitive or damaged skin. Please know that this will take a lot of testing on your part. That means making a lot of batches over a significant period of time, to see how they hold up over time in storage and in use. You will want to start by giving away soap to friends and family who agree to provide feedback, and keeping careful track of each batch so you can figure out how to fix things that go wrong (and they will go wrong, eventually).
Only you can know, through market testing, whether there is a market for the kind of soap you are hoping to make, since that varies greatly by region, and also by the type of marketing you can afford. But I will say, most soapmakers have a hard time selling more than the occasional bar of unscented soap. Yes, there is a market for it, but you will have to find those folks and get their attention. In the meantime, you might consider using essential oils in at least some of your soaps, as those are general perceived as more "natural" than fragrance oils, and they provide the scent that seems to draw people to buy.
Unfortunately, there will be no single recipe that is right for every type of sensitive skin. My husband's sensitive skin prefers a blend of lard+neem+colloidal oats. My sensitive skin prefers lard+goat milk. My best friend with sensitive skin prefers olive oil+ goat milk. I suggest coming up with 2-3 standard recipes so that people have options.
Also, there is no such thing as "chemical-free soap." Everything is made of chemicals, including you, me, and every bar of soap we make. A better way to express what you are probably trying to say is that your soap will be free of "harsh chemicals" or "synthetic ingredients." You do have to be very careful about making any claims that your soap is actually suitable for damaged skin. That would be a medical claim, which would make your soap subject to expensive testing for FDA approval, as well as drug labeling. Yes, there are many soap sellers out there who make those claims, but they are breaking the law and opening themselves up to huge lawsuits for liability. Imagine if you recommend that someone use your soap on skin with burns, and their skin gets infected. You could lose everything you own in the resulting lawsuit.
Well, that's enough for now.
You might check out the threads here about "Am I ready to sell my soap?" and "What would I tell my beginning soapmaking self?" Both threads have great info about getting started. Everyone here on SMF is ready to encourage you to enjoy the process of learning to make soap, and to post often with questions, requests for assistance, and of course, pictures of your soap.