I've also NOT had the surgery, but wanted to offer another option for folks that are in a position for talking with Katie, but are concerned about security:
*67 (or something like it -- Google to verify, and maybe test it with a friend) dialed on your phone just before dialing a number blocks caller-id. This may be US-specific.
Also, Google has an app called Google Voice that lets you setup a new phone number, for free. It is a pass-through to your actual phone number. So you give people your Google Voice number to dial, and Google forwards the call to your phone.
Just a couple of options aside from the Skype option that Promethea mentioned.