Katy Perry's evangelical father has been MUZZLED ... telling photogs he's under orders to keep his mouth shut about his daughter's divorce from Russell Brand.
Perry's dad Keith Hudson was out grocery shopping in Irvine, CA Friday -- hours after Brand filed for divorce -- when he told the paps, "I can't talk ... I can't talk to you ... sorry about that."
TMZ broke the story ... Perry WANTED Brand to file the divorce papers, because she didn't want to further upset her religious parents, who believe divorce is wrong.
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