If there's something you don't like about yourself on the web, usually Google isn't going to remove it from search results. If you complain, though, Google will remove web pages that include your bank account numbers and other sensitive information. And recently, they added medical records to the list of things they will remove upon request.
This matters because your medical records can be stolen or leaked. An Indian lab accidentally revealed 43,000 people's test results, for example. And just today, a report surfaced that private Medicare card details of any Australian are available to buy via "The Medicare Machine"
Hopefully you'll never need to use this feature of Google's policy, nor the revenge porn clause that they added in 2015. But at least now, if your medical records (or nudes) make it onto the web, you have an option for damage control.