2 years old small cat and dog. How long does it take for a cat to be fine with the dog?

Here's some background about them in case it helps understand the dynamics:

Cat (2 years old, 7lb) I adopted her from a shelter when she was one year old. She's super friendly with people, not afraid to approach and say hi. She's very affectionate and curious. She doesn't like being close to other animals. She hisses when my friend's cat tried to sniff her and that's when I realized she's not friendly to animals.

Dog (2 years old, 5lb) She's such a sweet timid girl. My bf got her as his friend was not able to keep her anymore a few months ago. She's very afraid of people, especially adult men, and runs away when someone reaches out their hands to pet her. She's doing better as we are giving much love to her. She's mostly indifferent and doesn't want to get close to other animals.

I've been dogsitting for a couple weeks while my bf is away. My cat hated having the dog from day 1, keep approaching then hisses and smacks. I separated them in different rooms for a few days and introduced them via baby gate and screen doors. It worked for a week and my cat figured out how to push herself through the gate. They were fed with their favorite snacks while they are physically close. After days of effort, the situation got slightly better by reduced hisses and smacks, sometimes peaceful sniffing. Thankfully the dog is not reactive to the cat's aggression and just sit in the corner of the couch when the incidents happened. No one got hurt btw

At this point, I don't expect them to get along. I want my cat to just ignore the dog's existence... I'm not sure if I did something wrong or if it's going as well as should be? Recently my cat started meowing to the dog and the dog growls back and the cat hisses. Is this a progress or regression? Should I separate them longer or let them see each other under supervision with the risk of the dog being smacked? And how long would it take for the cat to understand the dog won't disappear just because she wants lol