May I second the suggestion...for the woman to go with a Stoeger Coach double barrel shotgun. Check out the low-recoiling 12 gauge Aguila minishot shells. It has a short barrel...which makes it less likely for an intruder to grab it.
No sound is probably more terrifying to a home intruder, than to hear the rack-an-shuck of a pump action shotgun. I would shy away from the semi auto shotgun. Make sure she wears hearing protection, in case she lights one off in the bedroom --- cuz shotgun blasts are awfully loud in enclosed spaces.
If she prefers a pump...teach her to rack the action during recoil. Live-fire training should be mandatory. Get Matt Burkett's Shotgun Mastery dvd.