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respect
This is an odd point, but one that deserves attention: relatively few people in the world "cherish" the memory of one of the 20th century's greatest mass murderers, Joseph Stalin, but most that do live in Gori. Try to avoid denigrating their hometown hero. Gori is a small, poor city and its residents really do not want to listen to foreigners "attacking" their "heritage."
Visitors to local churches should respect Orthodox customs. Women should wear longer skirts and cover their head either with a hat or with a head scarf. Some churches will provide this for you. Foreigners are generally welcomed, but be mindful of those worshiping.