It’s nice to see Harvey Keitel playing The “Wolf” character again 
Read permission in advanced sharing is enough to prevent the player corrupting your files.
As was said, we don’t expect WDTV to corrupt files, but this way it can’t happen.
As a bonus nobody can delete your files from WDTV interface.
If you are behind a router, internet users can’t see your share.
Adding account/password to your share, it’s only one more layer of security.
Problem now is that your LAN machines could still be compromised, if there are more computer users behind your router, you can’t be sure if they know what they are doing, if they install mallware your LAN can be exposed to internet and your files shared.
Maybe not your case, but a lot of people have laptops now, some of them will connect to free WIFI networks, if they don’t have a password they will share their files with everyone that way. windows has public and private networks, but not everyone knows what they are doing.
Your LAN security depends on your router configuration and what you run in your computers.
To increase your LAN security, make sure your router WIFI only uses WPA2-PSK/AES with a big random key, don’t open router ports (port forwarding), test if all your ports are stealth, disable WPS and UPNP.
Don’t run fishy software, install AV, update OS/firmware, etc. etc.