Yes, if your nanny controls your computer
No one is in control of your computer. The Android market is hosted on Google's servers which is managed by Google employees, providing a service to you free of charge. By agreeing to use their service, you're signing away any rights that you think you have. I'm a privacy buff as well, but I'm not going to delude myself into thinking I'm somehow entitled to anything when I'm on logged onto the internet. You're at the mercy of the legal terms you agree to. Nothing more, nothing less.