That's time you could be spending on adding a new feature or fixing a bug :) Just change the secret and be done with it!
Removing the file, or the password and adding a comment, as well as changing the password where it's used is much less likely to end up with a re-added password later.
Of course, removing the file, adding it to .gitignore and changing the password makes it even harder as a contributor would have to work to add the password back, which is even less likely to happen.