ensure you are trying to login on a web browser , if you try the removal steps in the launcher you end up here
EA support are unable to remove a security key from an account
swtor support are a different support line and can only remove a key by phone call if you are unable to remove the key yourself in the web browser as seen below by leaving the key blank
( note the password needs to be known)
Phone numbers and hours available are listed in https://answers.ea.com/t5/General-Discussion-Technical/INFO-Getting-Help-and-Board-Guidlines/td-p/4806237/jump-to/first-unread-message
If need you can have someone talk on your behalf providing you are there to provide responses to questions to prove account ownership
easiest is to call swtor support when the lines are open, they can remove the key for you
edit: check your junk mail too for the otp
