I think sleestak has it right: it depends on the cats involved.
Not quite the same situation, but when I adopted Bastian, my oldest cat, I brought her into a house with a roommate, who then brought in an 8 year old Rottweiler female. My cat stayed in a corner all day, hissing and futting and yowling and hissing some more, hair on end, tail poofy, on her tippytoes. The Rottie tried desperately to make friends, and would bring her tennis ball and drop in front of screeching Bastian, keeping a safe distance away, then nudging the ball towards her. No change. Hiss. Ffft. Hiss. REOW. Hiss. Roxie (the dog) would pick up the tennis ball, toss it in the air, catch it, then bring it bacl to Bastian again, as if to say See? It’s fun! Now you try! Hiss. Ffft. Hiss. ROWER. Hiss. Poof. Hiss. Hiss.
Eventually, Bastian would hang out in my room, waiting for me to close the door. She would then bat her toy mice under the door, and wait patiently for Roxie to hurl them back. This would go on until Bastian got tired or until Roxie ate all of her mice.
She would slip out and eat Roxie’s food sometimes, and Roxie would charge at her - not in an angry way, it was almost playful - though she obviously had no intentions of hurting the cat, she certainly didn’t want her eating her food.
After a couple of weeks, Bastian stopped hissing. However, she would still run, and never really got used to the big, playful lug who just wanted to be buddies. Then I packed up Bastian and we moved to Seattle. She was the reigning Queen of the household and she liked it.
Then we adopted Kero, another female cat a few months younger than Bastian. Bastian hissed at Kero for two weeks. Kero didn’t care. Long story short, they’re buddies now. They’re both about three years old.
We’re hoping to introduce an Australian Sheepdog into the mix sometime soon. I wonder how that will go…
It all depends on the personalities of all involved. Good luck. Hopefully the hissing will stop in a couple of weeks.