In the dream, the cat gets into your quilt, which symbolizes your subconscious desire and is a disguised form of satisfaction. In the dream, you represent your rationality, and you chase cats desperately, representing your rational choice.
You are very angry, looking for cats all over the yard and killing them, but in the end you didn't find them or kill them. Your desire as a female subconscious is still very strong, but your rational power is stronger, which indicates that you will be able to crush confusion.