Welcome to the site.
I am a psychiatrist and j will like to offer my opinion on your query.
Well, unless this man is not completely free of sex addiction and is totally reformed and is leading a normal life for several months to years, until that time it is advisable for him to stay away from such a homeless shelter where women who are in the fragile state of mind and easily susceptible to exploitation and manipulation are found a plenty as with this person's background and past where in he has engaged in some brutally immoral, dishonorable and pervert demanor , so keeping him in such type of surrounding where he can have easy access to innocent and susceptible women, he may again repeat his past offenses plus this man unless totally reformed poses threat to women around him.
I hope this is clear to you what I intend to imply here.
Wish you all the best.
Please kindly leave a POSITIVE RATING if you are satisfied with the answer.