He's hiding you from who is most important to him. That is a huge red flag and I can surely see you getting shredded as he refuses to go against his parents wishes.
You'd do well to break up with him so that you can grieve and then when feeling better, find someone more compatible and who isn't afraid to be proud to show you to his loved ones.
Sorry, but this is a red flag you'd do well not to ignore. Your gut is telling you something and if he won't announce your courtship then he's not going to continue on with you into your futures. Does his family plan on arranging a bride for him too?
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion