Homeless people in the countries I know:
- usually are burdened with more than one type of shortcomings (physical, mental, etc.)
- for Bible study the required attention span sometimes is difficult
- discussion/questions can be sensitive and can easily derail
- because of the common load of mental issues there is very little empathy and patience
- once some become believers they require a lot attention and care
But yet - God loves them as much as anyone else. In growing churches usually a certain balance is needed between believers with stable lives and the capacity to give/organise, and those that primarily need to receive a lot to heal. Not all churches are internally ready to host/welcome homeless believers in their fellowship (thinking of
The Visit (Adrian Plass), 1999). They're usually the opposite of the ones who are welcomed because they can easily grow into leadership and pastoral roles, or contribute financially.
They're the ones young, modern and trendy churches find too difficult - but be blessed in your ministry ! Jesus also visited the outcasts more so than the elite.