my kid isn't grandma's fav, or liked much at all

Ra
One reason I've been reluctant to have a kid is I have a feeling mine wouldn't be loved like my Sister's kid. My sister had a daughter before she went to college so she was the first grandkid on both sides and had been aggressively spoiled by all family members. 
My sister was already the favorite and I was the black sheep. I've been singled out as the unworthy child and shunned by some family members. I'm not excited about further heartbreak of watching my kid watch her cousin being showered with love and wondering what to do to deserve love.
I already don't have a lot of support. I paid my own way everywhere and worked hard without breaks. I wasn't even welcome home during holidays. I had to go stay with friends instead. My sister could come home whenever she wanted. 
I can just imagine wanting my kid to be able to stay with Grammy the way my sister's kid does every weekend and being turned away. 
"Your sister bought a house, and you didn't. Your kid's a loser like you. Get lost. You're the bad one."
Does anyone else ever worry about having their kids rejected like that?