So I Married an Axe Murderer
(1993)

The suspicions of paranoid Charlie (Mike Myers) are only partly correct - his wife Harriet (Nancy Travis) is honest, but her jealous sister Rose (Amanda Plummer) has killed the previous husbands.

Rose tries to kill Charlie with an axe, but he's able to stay alive until cop Tony (Anthony LaPaglia) saves the day.

Charlie and Harriet stay together.

Thanks Tilman!