We already pay taxes as other sex-employed workers and we already have regular health checks.
Just like with the SAQ and the SQDC, and knowing our government, we would have an STDSDQ (Société des Travailleuses(rs) du sexe du Québec) where we would have to work from and between, what, 9 to 5 maybe. I would have an employer (RIP private businesses in the sex industry — and I love my self-employment status) and no other than the government! We wouldn't work from home anymore since it had to be from selected places in the city, and if you do go on the black market, they could arrest you. If you go out with a courtesan, they could arrest you because Article 30, alinea 1.5; prostitutes can't be used in public. We, SW, wouldn't go to hotels anymore, this will become prohibited since it can't be tracked and a way to keep the regular businesses "clean of prostitution". They would take your licence on arrival, your phone number and an emergency contact.
edit: since we would prefer to keep our business private, we would have to go underground. We would still advertise online (illegally) but our ads would become even more cryptical, with so few details that it would be an even bigger hit or miss for the clients. More scammers would get in the way since no one can give enough details to be proven not a scammer. We would be resorted to going to private residences because hotels would be too dangerous, putting us in a more vulnerable position.
I understand the brothels in other countries, but it's not the best scenario either. It needs to be like any other job: most jobs aren't legal. They just "are" within the existing laws, and rights, of the country.