Hello
A babysitter should, at any given time, be a person you trust, just so you dont have to worry about these things.
What point is there to have someone just looking at your account if that person is not able to sell your resources, or help you in any way.. and yes you should be able to use gold transfer to your own account.. that's why there is a "trade balance" in place. You can send, but with a limit.
However, looking at the matter from all sides, certain tweaks to babysitting could be brought. And in a mature version of the game, i`m sure most of these ideas will be heard and if suitable to the game play, implemented.
Cheers