Awwwww - how could your grandkitty not like you? I know the feeling - I have 2 grandratties that shrink in fear whenever I go near the cage, despite the fact that the other ones love me and know I have nothing but love and treats for everybody. They've been with us for a couple years now and should know better. My mom's cats, too, are terrified of me, and I've been visiting them for like 8 years now. I doubt that your grandkitty "hates" you; she's just not familiar with you. 
The kitty I have now used to belong to my mother-in-law, and when he was her kitty, he didn't like me at all. He would maybe pop his head out to stare at me when I was over at her house, but mostly would hide downstairs and/or run when I tried to pet him. Now, 4 years later as I'm typing this, he is laying in a tortellini curl on my lap, purring away. I think a lot of it has to do with the amount of time spent around the kitties. I worked for a long time to gain my kitty's trust and affection - it took at least a year until he would actually come up on my lap, but what a reward!
The legend says that Mohammed adored cats. When one of them was sleeping on his sleeve and he had to go out, Mohammed supposedly cut off the sleeve so as not to disturb his pet.
A righteous man regardeth the life of his beast - Proverbs 12:10
How we behave toward cats here below determines our status in heaven. - Robert A. Heinlein
What greater gift than the love of a cat? ~ Charles Dickens
There is, incidently, no way of talking about cats that enables one to come off as a sane person. - Dan Greenberg
If purring could be encapsulated, it'd be the most powerful anti-depressant on the market. ~Alexis F. Hope
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