SearchNetCharacterDaemon

   1. Remove adware installed on your Mac..

       Run the latest release of Malwarebytes for Mac to remove malware/adware, if installed on your Mac.

       For instructions: Install Malwarebytes for Mac v4      Uninstall Malwarebytes for Mac

       Click the “FREE DOWNLOAD” button.

       Click the “Scan ” button. Once done, quit Malwarebytes for Mac.

       Restart the computer and relaunch Safari holding the shift key down.

       Scan for Malware again.

       Additional steps  if necessary.

2. Remove unknown extensions:  Safari > Preferences > Extensions

  3. Reset search engine:    https://support.apple.com/guide/safari/customize-your-search-ibrwe75c2a3c/mac

  4. Reset  Homepage.   https://support.apple.com/guide/safari/set-your-homepage-ibrw1020/mac 

The Software suggested by @dominic23 is from a well Trusted Developer and a Respected Contributor to these Forums. The Malware was installed , perhaps while downloading and installing some other software from a Third Party source. This does occur when not sourcing ones software Directly from Developer or from the Apple Store.