What's an LX100? For most studio portraiture almost any modern camera & lens will do the job; we're rarely working at the limits of either.
I nearly didn't post the following bit - it reads as awfully harsh. My apologies, I'm genuinely trying to help rather than pick holes for the sake of it.
I like the pose & attitude in this pic but there are a few things I'd have done differently. She's broad lit, her shadow side is lost against the background, the top could do with an iron, the framing is odd and the processing has made her skin look blotchy.