I tried the url and tried the username and password as admin.
Since the password is wrong it said, invalid login.
Do you get the error when you used the correct username and password?
If you still getting the error, it can be due to few reasons.
a) MySQL isn't running (in which case the socket file won't exist)
... OR ...
b) The Linux user doesn't have permissions to access the file
Option a) would not be your problem.
Pls contact Godaddy support and tell them the problem.
Since you don't have access directly to the server through SSH they are the ones who can fix this.
Following pages explains the issue in detail and how to fix this.
Please post the result after any attempts to solve this.
http://www.tech-recipes.com/rx/762/solv ... mysqlsock/
http://www.linuxquestions.org/questions ... l.-237016/