I also think Jen gave you some very good advice. Maybe the TIMING is a problem - it's probably a bid time to introduce the kitten into the house if no-one has time to socialise her and help her settle in.

I also agree with the comments regarding the naughty and destructive behaviour - sounds like a typical kitten to me. Their energy CAN be overwhelming at times.

I am sure whatever decision you make will be done with the cat's best interests at heart, so good luck and you have my support.