Usually if it doesn't move it is a bit more worrisome, but it doesn't always mean it's something really bad. It could be swelling/inflammation that causes the lump from infection. Some cysts don't always move around as well. Try not to worry about it until the doctor tells you what is going on. Hope the doctor's appointment goes well. Let us know what's going on.
No it doesn't move which is what makes me more worried.
If you shave there it could easily be an ingrown hair, clogged pore, etc., all of which are not serious, though if the lump has been there for at least a few weeks, it's unlikely to be from shaving. Does the lump move if you press on it(slide a little to the side)? It could be a cyst or boil. If you haven't already made a doctor's appointment, I'd do that.