If the TS3MusicBot runs in query mode and gets a "Connection refused" error then start the TS3MusicBot with additional parameter:
-connect-over-public-ip
Example:
screen ./TS3MusicBot_runscript.sh -account youremail@hoster.com -port 8080 -webif-pw YourAdminPassword -webif-pw-user YourUserPassword -connect-over-public-ip