Good for you to help someone, genuinely. It’s a little weird you asked a question and then once people answer you try to debate them.
Some homeless people steal. Not saying as a group they all do, but I don’t know which category this stranger falls in. Once inside my house they know the layout and perhaps see things that would be of interest to come back later to steal. Of more concern is I don’t know the mental health of this individual, and I’m less concerned about theft than my family’s safety.