Don't trust btc-e.support on skype. There's a number of fishy conversations posted with that account (disgruntled former employee?). It is no longer listed as a contact on the site either. The only way seems http://hdbtce.kayako.com/

Dropbox' implementation of 2FA has been hacked last year. Why not btc-e's?

What's confusing me is the missing login alert email. Since a hacker would have needed to login to turn it off.