Yes. I used to do that when I had no other option. In my early days I managed to get a worm spread by a susceptible sshd in.. red hat 5ish.. don't remember exactly. But the point being: keeping things secure is hard work. And even then it might not be possible.
These days I use tailscale and essentially never leave my internal network regardless of being directly connected to it or not.
Set it up with your own DNS server and tailscale's ability to forward specific domains to your DNS server and it all just works.
My 10 year old daughter has been rewatching it for years. She found a role model in Leela and a name for her cat in Fry.
As for the references and jokes, yea many go over her head. But as time progresses, fewer and fewer. And she often asks about stuff she doesn't understand.
Even without a complete understanding of the jokes and references, she absolutely adores the show. And is asking on a daily basis if the new episodes are out yet.