Cant log in... am I screwed?

  So long story short I have the correct login information, but no longer have access to the email tied to the account

The longer version:

  Some years ago my email address changed from Hotmail to Outlook around the time they made that change. Unfortunately I had my power supply fail on my old computer recently and since it was rather dated I decided to do a total upgrade. Now my major issue is any time I try to log in to SWTOR It wants me to confirm my identify since I'm no longer on a recognized device. With the Hotmail user handle I used previously no longer existing I cant receive the authentication email.

  Also when starting to play the game again about half a year ago I had just busted my phone... meaning my thought process at the time in regard to activating the two-factor authenticator was "Oh, I'll do that later...". Eventually I forgot about it and here we are. 

SO... to sum it up. I have the correct login info for SWTOR. Yet since I'm no longer able to access the email tied to the account AND don't have two-factor authentication active.... am i screwed?

I just stared to get into the game seriously and am now faced with restarting AGAIN... not worth it imo. Fun game, not willing to restart it all again for the 3rd time.

Any suggestions would be appreciated =)