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Dealing with the dangers of self-hosting a webserver?

Broad title, I know...

Assuming for a self-hosted webserver:

  1. the webserver only hosts a static html website
  2. iptables is used to reject every IP except a few known ones
  3. only Port 443 is forwarded and the website requires SSL via client certificates

What kind of dangers remain? (Disregarding security holes in a patch)