Hello Roba, nobody has the right to control you like that, you should be able to view and like whatever you like. Enjoy Facebook as you want to and if you want to block her, you have every right to do that too, family members do not have to 'friend' each other, this is your private time, yes.
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Pegasus
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“Everybody is a genius. But if you judge a fish by it's ability to climb a tree, it will live it's whole life believing that it is stupid.” - Albert Einstein