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This type of damage would make the property uninhabitable until the landlord makes repairs and fixes the roof so no more water gets in. So at this point, daughter would have the right to demand that the landlord put them up in hotel until he makes repairs. If he refused, she can pay for a reasonably priced hotel/motel and then sue the landlord in small claims court under a breach of contract claim for him failing to provide them with a habitable dwelling.
If the landlord doesn't make repairs within a reasonable time, maybe a few days after the rain stops, then that would give them legal grounds to terminate the lease and move out based on his breach of contract in failing to provide a habitable dwelling.
Make sure she takes lots of pictures and video of the damage for future evidence purposes.
As an aside, in addition to being an attorney, I have also been a landlord for over 26 years...