Yes, we will hide your C.V. for you.  Please remember that we will need a few days notice though! 

Should you have sent your C.V. elsewhere though, It seems that the confidentiality 'promised' can't always be guaranteed (we're okay because we don't promise any!).  We read recently that unscrupulous 'headhunters' are now using a robot to gain access to C.V.'s held on someone else's server!