I had imagined that shutting down the shop would include rescue.
A huge point you are missing, is that people who are in such a situation (of actually needing rescue) are inexperienced, isolated, dependent, and terrified of engagement with authorities - often for good reason unfortunately.
- They have no other contacts.
- They may be deported.
- They may have been told terrible things will happen to them.
- They may be dependent for drugs or other things.
- They may have children or relatives overseas who will be (or who they have been told will be) at risk, or separated, or suffer.
- They may have been told they owe money (for "rent", or for their own trafficking) and fear for their safety or feel duty bound to comply as they owe their trafficker.
- They don't know the country well, are often very linguistically disadvantaged, impoverished, and easily manipulated
- They may be at risk of arrest - whatever police and authorities should do, the reality is that most of the time the victims will be seen as being in the wrong - arrested, charged with any number of crimes, drug possession, whatever.
- In a disturbing number of cases where police intrude on sex work, an outcome is that the police officers implicitly act as if they have a right to take possessions they see, demand sex, hint that "if taken care of" they will "go easy" and so on. The justice system majors in victim blaming, and even medical help may be prefunctory or based on prejudice about the victims.
Yes you can rescue people in that situation, and yes they desperately need it, but these issues present a huge barrier, and if you just shut the shops, you will expose people to those risks and realities, snd you will not necessarily be able to avoid that (hard to change police/justice/social care/medical culture and popular perceptions).
Rescue isn't as easy as it sounds, and people with those fears and realities may fear "I'm from the government and I'm here to help", more than almost anything else, because their current reality at least is a "known".
So you need to think hard, how people and traffickers/manipulators in that situation will act/respond, when faced with a public policy of that kind. The answers will probably be disturbing. If your imagination picks ideals then you need to reflect on your privileges and their past realities. Someone with poor English, isolated, manipulated, cut out from their family/"herd", facing a violent and abusive boyfriend/manager/pimp, maybe needing cash now not "some time", maybe dependent on drugs, documents taken "for safekeeping", having seen (and if not seen, certainly heard of) peers who got cut up or beaten up or put in hospital, ... you need to think in their reality not yours, to really help.
If you do, the answers become much less clearcut, because a lot of the answer is about how we (politicians, police, medical, justice, authorities generally, wider society) need to change and accept we're actually doing things wrongly, rather than the usual popular/political way it's presented and understood: which is put crudely, mostly about how we can get a quick dose of feel-goods from an easy "obvious" well-defined rescue, with big readily understood banners, clearly defined good people/bad people, and (for politicians) good TV soundbites. But solving this problem in a real way, often flounders because it isn't simple, and the implementation of any solution is hard as heck, with every step a battle.