When you flicker a creature that was haunted, its exiled from the battlefield and then returned to its original state, which means that alterations to it, like counters, damage, and, in this case, the haunt ability, are lost
According to data from Scryfall, 118 cards have the rat creature subtype
MTG - Tarkir: Dragonstorm Play Booster Box
Scoured Barrens gains you some life, while Malakir Rebirth and Sejiri Shelter are nice lands that can double as spells
If you've drawn three or more cards this turn, she deals 3 damage to each opponent instead
Its also important to note that your Mill opponent can get around the shuffle clause by hitting it with a Surgical Extraction or Extirpate before the trigger resolves