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I think that you could introduce a kitten or a cat. You will have some initial nastiness but they will soon get over it.
A puppy would be fine, too, but keep in mind that the puppy won't be for the cat, it will be for you.
You can introduce any breed of cat. It really doesn't matter.
The sooner that you can get a new one, the better. Once she gets used to being alone, she might not want to share her space.
Let me know if you still have questions about this.
And I am very sorry for your loss. It's never easy to lose a pet.
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