Hello Omnipotent_, welcome to the Microsoft community, I'll be happy to help you today;
I understand that the Wifi icon has disappeared from the system;
What exactly is the computer's model and manufacturer?
Initially I recommend that you go to the manufacturer's website and update the network and wireless network drivers;
I also recommend that you follow all instructions provided in the link below:
https://support.microsoft.com/en-us/windows/fix...
I hope I can help, see you soon!