@Taishisohma
Go to swtor.com and then go to log into your account. Enter your Display name and Password but leave the Security Key field blank. Click login and then on the next screen when it asks for your security key below the box is the link you click on to receive the one time password email to remove the security key. Once you enter that password it will be removed.
If you have any issues with receiving the email or still removing the security key, you can call customer service to have them remove it for you once they verify your account over the phone.
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/