Plain white linen = bleach. you can either directly apply the bleach to the mould (which I highly recommend) or water it down in a bucket of warm water and soak for about an hour but no longer than that.
If you do apply the bleach directly on the mould stains, wait five minutes and wash in the machine, you should have no worries there.
Also line dry in the sun. Whatever shadowing is left of the mould stains on your linen the sun will take care of.
Hope this helps.