When I came across this kyoto, a number of observations popped into my mind! Firstly I agreed with your observations about this incident that this woman was indeed "Dirty, dirty", and behaved appallingly hygienically speaking.
I am rather intrigued as to how you came to the assertion about her religion! If she told you, or was carrying a copy of the Quran, please accept my apologies; otherwise I am at a loss to explain how you can state she was a Muslim? I can only guess you are attempting to judge by her appearance. If she looked like she may have been of East Asian extraction, she could have been Hindu, Sikh, Buddhist, Taoist, Shintoist, Christian, Atheist or any one of the plethora of other religions. Sorry but you seem to have proved that if you 'assume' things, you run the risk of making an Ass of U & Me!
As I have said, if you knew that she was indeed a follower of Islam, I apologise unreservedly; though I still do not really see why we need to be told of her faith, it added nothing to the story. Telling us how 'a lady' had behaved would have been sufficient, surely?
There is enough Islamophobia currently polluting our discourse, and I would not want to see it invading this forum!
In short:- what she did was disgusting; her ethnicity, religion, and just about any other details are irrelevant!