For EA games on PC and Console, you'd need to make sure the email address registered to the Origin account is one you can access. So, you'd be best updating the email address on your Origin account asap. I'd recommend updating the email address on your Origin account either way as if you need to reach out to the Support team, they'll need to be able to contact you and the email on the account is how they'd do that.
For mobile games, like SWGOH, it's a bit different. In order to back up your game progress on SWGOH and not play on an anonymous account, you'd need to link your game to your Google Play or Game Center account. As long as the email linked to your Google Play/Game Center account is one you've access to, you should be fine in terms of retaining SWGOH game saves. #
- EA_Lanna
