Missing a pill on the mini pill will leave you unprotected and at risk. We can’t know whether or not you will ovulate this quickly, some do, some don’t. And yes, that one minute can be the difference as the built up mucus can already thin down if you didn’t take your dose on time (which is putting you at risk). You’re either fully protected or fully unprotected, there is no in between.
Either way you should abstain from sex or use condoms if you miss a pill until you’re protected again.
More info here: {S3k-mKxie}