How exactly did you set this up? Does the cronjob call the file cron.php every minute?
I believe the way CronManager works, is that you can only set an interval and not a specific time. What’s your interval? 1’440 minutes?
If you have only one snippet that you want to run with the CronManager extra, you could set a specific time for the cronjob on the server (instead of running it every minute). When you then set a smaller interval in CronManager, so that the snippet is executed every time the cronjob runs, I guess you could avoid the issue with the daylight saving time.