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EVERYONE is going to know that you are either a guy or transgender Woman, so there is no magical makeup to fool anyone, so please don’t stress over finding a solution that doesn’t exist.
Your going to be a source of interest, most people will be polite, but understand that all of your coursemates are going to be curious and wonder what’s going on. Though most people will be way to polite to say anything unless they are quite young and then curiosity takes over.
So when you go on the course if you’re set on dressing up then you can either pretend you’re a woman and be offended if anyone says anything or you can enjoy the experience and be prepared to chat about it with people if they are curious.