https://www.dnasquirrel.com/

This site walks you through how to take a DNA test anonymously. That’s as close as I’m aware of that you can get to privacy.

Freeze your credit:

• Equifax: https://www.equifax.com/personal/credit-report-services/credit-freeze/
• Experian: https://www.experian.com/freeze/center.html
• TransUnion: https://www.transunion.com/credit-freeze

https://www.dnasquirrel.com/ provides some guidance on how to get DNA results while maintaining privacy. I haven’t tried it yet, but I’d like to hear if anyone has.