Here's the key to your problem. Clearly your cat knows what's good for her, hence she likes the meat and doesn't want cat food. Most cat food these days is so far removed from what cats naturally eat that it's no wonder so many are getting overweight and sick with diabetes etc. Have you thought about going back to basics and feed her a raw diet? If I were you I'd seriously consider it (I have been feeding my cat a raw diet for a year now, with great success) as it's so much better for the cat than eating the inappropriate ingredients in cat food (since when did cats eat rice and veg in the wild?).

Feeding raw is simple - just start with cutting up some raw meat in kitten size pieces and see what happens! You may want to start with lamb since she already likes that - then try a little piece of liver, from any animal. Then give her some tiny bones to chew on such as quail ribs or baby chicks, or chicken ribs if you can't get quail. The percentage of meat/liver/bone should be approximately 85%/10%/5%. Cats can make all the vitamins and get all the nutrients they need from this diet because they're carnivores and designed to do so.

If your kitten is very young you may also want to give her kitten milk to substitute what she'd get from her mum.

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