Several years ago, I almost didn't take in two lovely boys who were in need of a new home, because I had a 14-year-old female with all claws, and they, 6-year-olds, were declawed. It wasn't the only reason I hesitated, but it certainly was one of them.
My husband was wiser. He suggested that we might take them on a trial basis, if J (their human) was not able to find a better situation for them, on the understanding that, if they weren't accepted by Shasta, they would go back to J and re-homing would be up to her.
In those days, I had never introduced one cat to another, and didn't know thing one about recommended ways of doing so. What we did was give the boys the run of the basement, and restrict Shasta's access to it -- for something like a week, I think, or a little more. Then, one afternoon, when there was no other agenda to make us want to hurry, we gathered in the family room, removed the barrier, and waited for Shasta to come calling. We didn't wait long.
She came down, sauntered in, there was some posturing and hissing, but nothing alarming. After maybe ten, fifteen minutes of whatever discussion they were having, she turned and went upstairs.
We left the barrier down whenever we were home, but for a few days put it back in place when we were out. We didn't really need to, because there was immediately a line of demarcation at the top of the stairs. Shasta went that far and no farther -- stayed upstairs. Gryphon and Nibs came to the top of the stairs and looked, and scuttled away at the first sign of Shasta. For a few days.
Then Gryph's need to explore got the better of him, and he began venturing further and further, always giving Shasta a wide berth. It took Nibs longer to get brave, but eventually he did. There was never -- and I mean NEVER --any altercation between Shasta and either of the boys. It took a while for her to forgive me for allowing these interlopers into her house, but she did, and eventually they were sharing treats as if they had been together all their lives.
Bottom line (thought I wasn't going to get there, didn't you?
): There's no reason it can't work. However, as others have noted, a lot will depend on how they are introduced, and since cats are such individuals, reponses will vary.
Good luck with your introductions!