This is why people who do not like cats are frequently the subject of their attention. These folks avoid eye contact while others in the room (who like cats) try to attract the kitty. And sure enough, the person who does not like cats and thus avoids eye contact is perceived as being non-threatening and friendly, and becomes the subject of the cat's attentions.
"O' the good Lord some giftie gie us,
To see oursel'es, as others see us..."
~ Robert Burns