I see an icon with a pair of scissors in some of my emails that were added to Daylite.
Why is this problem occurring
The reason you see this icon is because the source email in Apple Mail has an attachment which was not added to Daylite.
If you intended not to add the attachment, this is expected behaviour.
If you want to add the attachment go back to the email in Mail and from the Daylite Mail Assistant Panel add the attachment.