@Athena45 Yes, I agree it's best to get rid of a guest (I use that term loosely, as people like this really have no concept of what being a "guest" in someone's home means) like this ASAP. No good whatsoever will come of letting her stay, and a lot more bad is guaranteed.
That said, if the clothes rail really is broken, or the bed really is wobbly, you should get those things looked after. But offering complaining guests remedies, if you know their complaints are bogus, is pretty pointless, because guests like this are never satisfied, and running around trying to make them happy is an exercise in futility, nor will it ward off a bad review.