A promising match, with one terrier-shaped warning
Yorkshire Terriers can be good with cats, and many live as relaxed companions to a resident cat for years. The size match helps more than people expect: a Yorkie is not an overwhelming physical presence, a confident cat does not feel hunted by bulk, and the two can share sofas, sunny spots, and household routines on fairly equal terms. The warning is in the breed's origin. A Yorkie is still a terrier, bred to chase small moving animals, so a cat that bolts can switch on pursuit in a dog that was snoozing peacefully a moment earlier. Success depends less on the breed label and far more on the individual cat's confidence and how carefully you stage the first weeks.
Reading the two animals you actually have
A calm, dog-experienced cat that holds its ground or strolls away is the easiest partner for a Yorkie. A nervous cat that flees at every sound is a harder match, because every dash teaches the terrier that cats are for chasing. On the dog's side, a Yorkie puppy raised in a home with a cat usually grows up treating that cat as family, while an adult Yorkie with no cat history needs slower testing. Watch the quality of the dog's attention during early meetings: soft glances away are encouraging, while a fixed stare, stiff body, and quivering focus on the cat mean the distance is too small and the session should end.
Staging introductions that build the right habit
Start with the animals fully separated, feeding on opposite sides of a closed door so each links the other's scent with something pleasant. Swap bedding after a few days, then move to meetings through a baby gate or a cracked door with the Yorkie on a loose lead. Keep those sessions short, reward the dog for looking at you instead of the cat, and let the cat choose how close to come. Only when both animals eat, rest, and turn away from each other calmly in the same room should the lead come off, and even then the cat needs high shelves, a gated room, or a cat door the dog cannot use, so retreat is always available. Feed the pair in separate places permanently; a terrier nosing into a cat's bowl is a common and avoidable source of friction.
Daily life once they share a home
Most settled Yorkie and cat pairs divide the house amicably, but management continues in small ways. Keep the litter tray where the Yorkie cannot reach it, because many small dogs find it irresistible and the cat deserves privacy. Supervise play: a Yorkie pouncing in terrier style can frighten a cat even when no harm is meant, and a cornered cat's claws sit at exactly a small dog's eye level. Separate the animals when you go out until the relationship has months of calm behind it. If chasing keeps escalating despite slow introductions, or the cat stops eating and hides for long stretches, bring in a qualified behaviour professional rather than letting the pattern harden.
One household, two sets of care details
A home running a Yorkie and a cat at once has double the feeding notes, vet details, and daily routines to keep straight across family members. Those relatives can open the profile kept for your Yorkie themselves once you grant them access through KinsLe's Family Sharing, rather than rely on someone else's summary.