Taelon, just to note that I don't think this is anywhere near ready for posting yet. Someone with more time will be able to give you a line-by-line, but here are my high level thoughts:
- the underlying idea is okay (although not such a twist that it can support that length of build-up, or the initial warning), and the conundrum you pose for the Foundation is good. I suggest concentrating on that angle - for example there is almost nothing in the Containment Procedures that attempts to deal with the skip's primary effect.
- the characterisation of the skip is very weak. As a moustache twirling villain baiting the Foundation, she is a walking cliché. And her style of speech sounds like a modern teenager, rather than something non-human that has lived for thousands of years. If you keep the interviews at all, I would re-write every line of her dialogue, and would make the process of revelation quicker.