A dog isn’t an apex predator, it is a scavenger carnivore
Ok, imagine being made to live with a scavenger carnivore twice your size. Still got big teeth and a gaping maw.

When the cat does a passable impression of a cushion stuffed with razor blades, (aka a Smog Cat, ©Terry Pratchett),
then there will be a blood-letting!

I’ve been informed by the good lady of the house, she would be a mad cat lady if it wasn’t for me and the kids, that this is the guide you need to follow

https://icatcare.org/advice/how-guides/how-introduce-new-dog-or-puppy-your-resident-cat

But dog needs to be on a lead at all time whilst initially introducing, hopefully your cat will come back in the home.

Good luck

Double post