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Was your 5 week old Silkie added by itself, and was it a girl or a boy? That makes a difference. Singly added females will ALWAYS be picked on - even if they are the toughest of their old cage. Usually until they fight back - but Silkies don't always fight back.
I found my SLW were the meanest birds to any newcomers. I have never had Red Sex Links, although I had some Hatchery "Rhode Island Reds", those were mean too.
Introducing birds by pairs or trios usually is better for the harmony of the flock. The newcomers will defend each other from the bullies - and hang out together for awhile.