It is called religious freedom.
The Maryland Toleration Act of 1649.
The places of worship for Hindu are called as temples. Temple is a place where God resides According to Hindu belief.
They worship a holy god's son called jesus and they celebrate his birth and death and obey the ten commandments.
Jewish people don't worship buildings, they worship God. They do however worship IN buildings called Synogogues.
Shia Muslims believe lie is great sin. but there an exception that if a shia Muslims in a situation fears for being killed for beliefs should hide beliefs and if needed its allowed to say lie. but if no fear then lie is not allowed. this is called taqieh and is an Islamic law mentioned in Koran.
Islamic acts of worship are called ( ibadah )
Yes jainism worship is called puja
It is called, "Mosque".
The followers of Buddha are called Buddhists and the place of worship is called a Temple
The place of worship for Buddhists is also called a Temple
Women, according to Islam and Quran, can't reside in mosques through any voluntary period for worship that is called in Arabic 'E3tekaf'. This voluntary worship is for men only. Refer to related question below for more information.
That would be Church, and the room we all worship in is called the Sanctuary.