@Player_ncs34g3e @wolvenneklaw @vladdrew6666
I merged your threads since your having the same issue and it's easier to just put one reply lol.
If you have checked your email junk / spam folder then I would log into swtor.com and try to send the email to a different email address to send it to. Also if your using gmail, make sure all labels are showing under settings to ensure the email didn't get sorted under a hidden label.
Next if you can log into swtor.com I would go ahead and add a security key to your account. The app is free for any android / iPhone which not only bypasses the one-time password email and uses the random code the app generates to login but you will receive 100cc free each month for using it.
If you still cannot receive the email within 15min and you are not able to add a security key, then you would need to call Customer Service as for security purposes they cannot reset or fix accounts via the public forum.
The information to call them is below and it also has information on how to use Skype on your computer or smartphone to call for free or at a discounted rate if your outside the U.S.
For details on how to contact SWTOR support you can follow the steps outlined in this article here: How to get help with STAR WARS™: The Old Republic™
[CM Edit - Edited post to provide an article on how to contact support for STAR WARS™: The Old Republic™ - EA_Illium]
If you are calling from a different country above or how to use skype to call for free, see the below link for contact numbers for other countries and more information on using Skype to make calls:
https://help.ea.com/en/article/swtor-support/