She definitely looks like she has Cayuga in her (I have two myself), but I wouldn't know what she could be mixed with. I know as female Cayugas age they will often get white blotches on them like that, but that is after years of moults, not on a one-year-old female.
My Cayugas lay eggs varying in color: black, gray, pale green, and cream. So, they vary alot for this breed! Not sure what yours would be if she is a mix. Have you checked the bottom of your pond for eggs? Sometimes ducks will lay their eggs in their ponds. Also, 9 days is probably not long enough for her to settle in to her new home. Might even take her weeks to start laying.