Google wants to simplify the process of removing search results that contain personally identifiable information. Currently rolling out for beta testing – in the US and on Android only – this option takes the form of a new feature within the Google app.
The idea is that tapping on your profile icon will give rise to a new menu option called "Results about you," leading directly to a page that explains how to request that Google remove search results containing personal information such as contact details. This could be a postal address, as well as an email address or a phone number that you do not want to share. Generally speaking, it concerns all types of personally-identifiable information.