You're basically saying "It may be harmful but I would rather it be legal". I mean you may be able to hold that position of some things but not on all obviously, and I hope I don't have to list deplorable things to convince you otherwise; slavery, pedophilia. Ultimately, its up to society to determine that which is acceptable.
Its not a strawman, if this becomes legal it becomes a very real possibility. If society condones women pursuing a career as a prostitute it is allowing young girls to aspire to become prostitutes. Irregardless of how parents raise their children, if society at large allows it then it becomes a viable option for the populace. I'm sure you've heard that saying of "society made me this way" or something like that.
Are you okay with a random person's random daughter making money off of sex legally? Sure, have at it. Its a individual act, not a macro-level green light.
The thing with me is that yall aren't thinking about the future implications of legalizing this. Along a broader degree, a community one, what places are more susceptible to being transformed legally into prostitute havens? You know the deal and if they ever had to legalize it dam sure isn't going to be at a time where you know who will be hit hardest. You may be alright with a shameless future like that but I'm not. And like its been mentioned in this thread. It doesn't detour the black market completely in any sense, it creates another problem of facilitating the supply not of legal prostitutes now but victims.