She was religious as all people were in that age. Perhaps if she had been born in more modern times, she woudn't have had much interest in religion. But given the age she was born in, she was defintely interested in religion, and was what is called religious. She would however have most likely followed whatever form of religion was feasible for her country, and let her own inclinations go on the back burner. As she herself said, the rest was trifles. As long as there was some Christian religion, that was all that mattered. I don't know as she would have believed in non Christian religions.
She was defintely tolerant for her age, even if in practice some lashing out against Catholics was necessary. She herself, though was tolerant in a modern way, as well of differences in religious opinion. She had the wisdom not to be intolerant or a fanatic, not a gift granted to many in that age. She is to be applauded for that. Her own prefered way of worship seems to have been the more high church Anglican, where there is some formality, but it is still protesant.