Short answer: go slowly, at the cat's pace, and keep both pets safe. Dogs Trust says to introduce them gradually over a few weeks.
Before they meet
PDSA says to set up separate safe spaces for both pets, where they can go without being disturbed by the other. In an ideal world, give them a few days to get used to each other's scent first. You can swap blankets, or rub a soft cloth around the cat's cheeks and under the dog's armpit and give each pet the other's cloth.
First meetings
PDSA says to keep a barrier, such as a baby gate, so they can see and smell each other and still feel safe. Keep your dog on the leash at first and watch for over-excitement or lunging. When both seem calm, you can take the leash off but keep the gate.
Safe food spaces
Dogs Trust suggests putting the cat's food behind a door, a barrier or somewhere high that the cat can reach. See a dog who chases the cat and a puppy meeting a cat.
Get the right help
If your dog will not calm down around the cat, ask a qualified trainer for help. Dogs Trust also suggests a vet visit to rule out medical causes.
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Sources
Sources & care notes
Frequently asked questions
How long does it take?
Introduce them gradually over a few weeks, starting with days of getting used to each other scent.
What setup do we need?
Separate safe spaces for both pets, and a barrier such as a baby gate so they can see and smell each other and still feel safe.
What about first meetings?
Keep your dog on the leash at first and watch for over-excitement or lunging. Short and calm beats long and tense.
What about food?
Put the cat food behind a door, a barrier or somewhere high the cat can reach, so nobody has to guard a bowl.
