sorry to hear your pup hasnt been feeling well.
so two weeks plus 15 days ia a bout a month of no training? Do you mean NO training or just no big intense sessions? I assume day to day you still require good general behaviour and practice the basics and such? It's not a free for all with puppy getting away with anythign and everything?
Training breaks are good and needed (though again, you can't start allowing things that they shouldn't do, just means you cut out the "formal" training bits). A month is long especially at that age when it's more critical but if you maintain a status quo on expected behaviours it won't be the end of the world most likely. Just key ou don't allow behaviour that you will want to "fix" later - fixing takes 10x as long as just training the routine/behaviour/expectation from the beginning.
For puppies training shoudl be a daily happy easy going thing. Not "intense". they can only take so much anyway (in any one session). Even 3 minutes here or 2 minutes there is good. if a session is too long you lose the puppy's interest.