Christmas puds last all year without freezing. They are full of all the ingredients that have been used for centuries to preserve food for winter use.
Freezing them once they are cooked (presumably handled with clean hands, and well wrapped before freezing) doesn't alter the ingredients at all, and defrosting in their original wrappings doesn't let in any new germs. They just take up where they left off when they were put into the freezer.
Freezers are not magic gadgets that somehow change stuff - they just put a pause into their ageing. They will be exactly the same as they would have been if they hadn't had the spell in the freezer - as if the freezer time just didn't exist. You would have been happy to eat them if you had stored them without freezing, so eat them and enjoy.