As long as you have not submitted that Refile, it will not be transmitted to CRA. If you wish to "delete" the ReFile you began in error, once you start or open another return in your Online TurboTax account, you should see a little garbage can next to the Refile and you can delete that file. 

However, if you have already submitted your ReFile, there is no way to cancel it.

Thank you for choosing TurboTax.

My refile doesn't have a delete button beside it (says it's incomplete). However, it does show my original filing as completed. Can I just leave it like that and not submit the re-file?

@AlpacaLover98 Yes you can.