I was trying to get the Bronze Editor badge, so I edited one post by fixing a few grammar errors and making the question clearer. However, I thought editing was a privilege only earned at 2000 rep?
After I submitted my edit, I got a message saying it would only be displayed once peer reviewed. Will I still get the editor badge no matter what?
You'll get the badge if and only if the edit gets approved by the reviewers in the Suggested Edits queue. In your particular case, the edit is approved, and you have accordingly received the badge.
For more information, see What kind of edits contribute to the editor badges?.
Editing without having the edit reviewed is a privilege earned with 2000 reputation. But you can always suggest an edit, regardless of how much reputation you have. (Even without being logged in!) When you suggest an edit, if you don't have 2000 rep, your edit suggestion is placed in a queue to be reviewed by high-reputation users, and if they approve it, then it goes through as a normal edit. Whereas if you have 2000 rep or more when you submit the edit suggestion, it just goes through as an edit without any separate approval needed.
