How do you know if your internet is safe

Nothing can be done on your iPhone. You need to re-configure your Router and allow better security options. Check your WiFi Router / Modem for --> Recommended settings for Wi-Fi routers and access points ...

Consider a more secure wifi configuration.

Change your router’s WiFi to use WPA2-AES (CCMP) with no WPA or TKIP. Updating this setting ensures that your devices always connect in one encryption mode

1. TKIP is obsolete and not considered secure. Choose WPA2, the latest encryption standard, with AES encryption for optimal security
2. If your router doesn’t specify TKIP or AES, the WPA2 option probably uses AES

See the pics below