That sounds a lot like how I got Hanna. I had three dogs and two cats. I introduced them very slowly. I kept Hanna in a bedroom by herself for two weeks as a quarantine - I took her to my vet immediately but to make sure she wasn't carrying anything my other cats could get I kept her away from them for two weeks. During that time my cats were aware of another cat in the house. When got the "all clear" from my vet, I let Bo (my mellowest cat) in to visit with her a few times a day. Hanna and Bo were pals right away, not a single hiss between them. Abby was a little harder to win over. It took 3-4 months before Abby could stand to be in the same room as Hanna! So it took lots of time - don't expect them to be best pals right away.

I also took it very slow with the dogs. My three dogs were used to cats, but they were used to my older cats. I kept my hyper, fearless kitten away from them for a few months - I didn't want my dogs to snap at her, she was quite bold.

It basically took lots of time. Don't rush things and don't force them on each other.

Thank you for rescuing the sweet kitten, I'm so glad she found a good home!