You might want to give her a kitten to 'raise'.
Usually, cats are very tolerant towards kittens, and they bond well.
Or you could go to a rescue centre and pick a gentle, sociable, cat loving mature cat.
I have now 6 cats and failed in integrating newbies into the group only once. Even one cat that has been known to be impossible with other cats did well here. The only trouble was that he claimed every house in the neighbourhood, and, given half a chance, stole steaks, fish and chicken filets from every kitchen he could enter.
He was a true cat burglar, so I had to return him to hte rescue centre for his own safety. They are now trying to find him a home on a farm or in a pensioners' home. He loves being around people, but he should not be in a position to enter other people's houses.