What knowing a name actually means for a kitten
A kitten does not learn her name the way a child does; she learns that one particular sound, in one particular tone, reliably predicts good things arriving if she orients toward it. That is all you need, and it is genuinely useful: a name that earns a look and an approach is a recall in embryo, a way to interrupt her before she reaches something dangerous, and the foundation for later training. Understanding this keeps expectations right. She is not being stubborn when she ignores the name in week one; the sound simply has no meaning yet, and meaning is built entirely from what has followed the sound so far in her experience.
Build the association in tiny, easy repetitions
Start when she is a few steps away, relaxed and not absorbed in anything. Say her name once, clearly and brightly, and reward the smallest response at first: an ear turn, a glance, a step in your direction. Treats work fastest for this lesson, so use tiny, high-value pieces she only gets for name practice. Do a handful of repetitions, then stop while she is still interested and let the lesson sit. Several of these micro-sessions a day, in different rooms and at gradually greater distances, build a response that generalises. If she does not respond, you are too far away, the room is too exciting, or the reward is too dull; make the exercise easier rather than repeating her name louder and oftener.
Protect the name from everyday dilution
Names wear out. A kitten whose name is woven through constant household talk, called across the house for no reason, used by three people in three tones plus two nicknames, learns that the sound is mostly meaningless and sometimes a trap. Agree the exact name and tone for training, keep nicknames for affection rather than for calling her, and reserve the trained name for moments when you can pay for a response. Above all, never use it to summon her for the carrier, a bath, or anything else she dislikes during the learning period; call her, pay her, and only then proceed kindly with the necessary thing on some occasions, so the name itself stays trustworthy.
Name practice inside real life
Once the response is reliable at home, practise where you will need it: call her away from the window, from the doorway, from the interesting smell behind the sofa, and pay generously every time, because interrupting something fascinating is expensive and the reward has to beat the distraction. Practise with different family members so she answers the name in any voice, since a kitten who only responds to one person's cue is only half trained. Keep sessions playful and stop if she becomes overexcited and starts treating the game as a chase, which teaches the opposite of the calm orientation you want attached to her name.
One cue, shared by the whole household
Name training is unusually vulnerable to inconsistency, because everyone talks to the kitten all day. Put the agreed name, the tone, the reward and the no-summoning-for-unpleasant-things rule where the family can see them, and correct dilution kindly when it happens. KinsLe Family Sharing keeps those training notes on your kitten's profile alongside her other care details, so children, partners and visiting family are all working from the same single cue rather than inventing their own.