What I did for my WoW account and recommended for every one on here is to take a pick of all the free email services out there yahoo, aim, new one from your ISP, etc. Register a new email account and ONLY use this address for accessing your SW:TOR account now that the password change went thru i went ahead and did the same.
The reason is with in a few months of launch "Gold Sellers" will be out in force, by doing this if any email you get is in your new account then you know its real, but if it comes in your old account then you know its a fake.