Delete all your kinky world files and replace them with the new. Then, just to be safe, delete your "scriptCache.package" file. You may already know this but it's generally considered a good idea to delete the cache.package files whenever changing, adding, or removing mods and other cc. If you already know all this then ignore the link but if you don't, it explains it much better than I could
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You'd probably also be just fine copy and pasting over your old files but sometimes these mods condense package files, which wicked whims did a while back and people *
still* have a hard time understanding that they don't need all the old numerous package files leftover from older versions. So as a general rule of thumb I always just delete all the old to be safe and replace it with the new. I doubt kinky world will be doing that this far in but it's a good habit to form.