Nope. There is nearly aways a reason behind people being homeless and it doesn't tend to be good. If she needs help to find a shelter or to contact homeless services I would of course try to get her off the streets but not into my home.
I would have no problem letting a friend in need stay to get through a tough patch but not a stranger off the street. There would be no trust and you could have no comfort while they were there as too much could go wrong.
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