You just described a private assisstant. People were entrusting their whole lives, including most intimate details, to selected individuals for ages. And these individuals could cheat on their employers, spread gossips or even blackmail them. This was a significant risk. And yet many people considered this risk smaller than benefits of being able to focus on things important to them, while the assisstant took care of all things mundane. Caveat: personal assistants of this type were extremely expensive. It was not a work assistant, answering phonecalls and arranging meetings 8 (maybe 10) hours a day. These were people living in the same house, sharing lives of their employers.
Fast forward to present and personal assistants become available to almost everyone. Risks are mainly the same: you have to share your life with someone, including intimate details maybe. Difference: instead of a human being you have a piece of software backed by a corporation. So instead of having an individual who could cheat on you, your data becomes a part of a database and you are fed taylored ads (best scenario) or your personal data is sold to the highest bidder and anything may happen (worst scenario). The best scenario does not differ much from having a trusty personal assistant, whom you have to pay, while the worst case scenario is still probably better than being blackmailed by a former assisstant.
So there is risk and there is benefit.