Hidden Service in the .onion realm!
Tor can also provide anonymity to websites and other servers. Servers configured to receive inbound connections only through Tor are called hidden services. Rather than revealing a server’s IP address (and thus its network location), a hidden service is accessed through its onion address. The Tor network understands these addresses and can route data to and from hidden services, even to those hosted behind firewalls or network address translators (NAT), while preserving the anonymity of both parties. Tor is necessary to access hidden services.
Hidden services have been deployed on the Tor network since 2004. Other than the database that stores the hidden-service descriptors, Tor is decentralized by design; there is no direct readable list of all hidden services, although a number of hidden services catalog publicly known onion addresses.
How to achieve complete anonymity for your hosting?
You need an anonymously rented or bought VPS, paid with cash or bitcoin.
You can have that, and the expertise to run it safely at Privacy.li