Stay away from 23andme if you have any privacy concerns. I've worked with providers of DNA insights and advice that don't build their revenue model on selling your data. For example DNAPal.me
Your DNA is worthless[0] and impossible to hide. If someone did want your DNA there is nothing you could do to stop them. You leave it everywhere you go.
[0] except to your children you don't know you have
They sell it to GlaxoSmithKline and others:
https://en.wikipedia.org/wiki/23andMe
not to mention the recent data breach