Love not only human beings,but animals too..
Love in any form is a kind of gesture that expresses deepest feelings.
Weather its an animal or person,they deserve equal love. The affection towards a hairless cat is a kind of humanity. Imagine, you are suffering with some disease. Does your family leaves you at that time? You need them most at that time. If you are bald,does that affect your life,apart from 1st impression on the stranger? Your physical appearance does not affect your life. What affect is nature. Same way is with animals.
Make your family understand value of love and caring towards the little pet. Make them feel that you love your cat as much as you love them. Hairless cat might be ugly, but your love towards a cat can win there hearts. Show them the brighter side of your story. A pet surely gains confidence much more faster then a human can. They are self-less and voice-less. They cant speak,but you can stand for them,for your loved ones.
They will definitely understand you.
Good Luck
