This just a Theroy:
You may be able to add HTML codes to the Sitetitles.
You could try to add the icon code in front of the name.
Nameless uses FA Version 4. You can find all Icon codes here:https://fontawesome.com/v4.7.0/icons/
If that doesnt work I dont have a lot of other Ideas mabey someone from the nameless Staff could help you then.
TSUKI | Ben