deff could be problems there my friend , we have two cats and a dog ...our snakes are never out when they are around ...the other pets go elsewhere when I have ANY snake out ...heck even a live prey item ( mouse/rat ) can cause considerable damage to a BP , if left unattended. Survival is a very strong instinct in all animals.

Cats like to 'play' but this could be devasting to your snake. Now if it was a 18 foot + female Burmese...the odds would swing in favour of it ...sadly ..BP'S are not Burms ( well actually glad there not but ya get my drift , lol )

Its a waaaaaaaaaaaaaaaaaaaaaaaaay bad idea .

I can only suggest , if your good lady does not wanna listen , that you ONLY have Sasha out when the cat is elsewhere, much safer .