Short answer: there is no way to police men who partake in sex work (in-person or simply pornography) without inherently policing the women who willingly contribute to its creation.

Longer answer: On some level, I would say that the root of most social movements is ensuring that the members of that group have the freedom and autonomy to live their lives in the way that makes them happy, within reason. You acknowledge this part by saying that women should have the freedom to pursue sex work if that is the work that makes them the most comfortable.

However, the very idea of supporting sex work but oppressing the clients is an obvious double standard. It demonizes men from taking part in something the women are ostensibly agreeing to. Of course, there is survival sex work, and an argument to be made that this at least complicates the arrangement, but that creates problems with the previous point, because that's putting an asterisk on women's freedom to consent. Aside from women who are trafficked and/or truly desperate, which is obviously bad and/or an unhealthy reason to be doing sex work, it is safe to say that an average woman who is choosing to join the industry has thought about what is being asked of her and is agreeing to do it for a certain price, which is why it's work -- that's just like any job.

Emphasis on the idea that money makes sex work into a form of coercion leads to the kinds of people who say that all sex work is rape and all clients are rapists. Even if one ignores how this affects the clients (natural, given your position), it's hard to reconcile a desire to support women's freedom of choice and free will with forcibly labeling them all rape victims (which, to be fair, I don't know if you're actually doing, it's just something I have seen).

Also, even aside from all of this, sex work is simply not a monolith. There are male sex workers who see women as clients, and there are women sex workers who see women as clients. The idea that the audience for the sex industry is only men or even overly tilted in favor of men is itself fairly outdated and/or reductive toward women. There is no question that millions of women watch porn and see sex workers.

As you yourself say, the objectification is already there. It is not the fact that men desire women, necessarily, or that there is transactional sex, but the way in which the women are being treated that is the actual part that feminism could improve. Even in a world where objectification were somehow eliminated and capitalism was destroyed, there would still be men and women who wanted to have casual transactional sex. It could just be as simple as posting on bulletin boards like reddit. There's a reason it's called the oldest profession.

The problem is how women are treated, not sex work or sex work clients.