I tried out a new game with the Meek origin, and if you enable danger days and disable danger limit then there is no issue with sex getting blocked in early game. Sammy got poked on her first bus ride, and assaulted during the first week.
Although, she's supposed to never refuse because she's broken, but there are a few scenarios where you still get the option to refuse.
* When she gets propositioned at the school and goes with the guy to the bathroom/locker room. When the guy asks for more, you're given the option to refuse, even if the guy is offering extra money.
* When she's working at the Pub, sitting on a guys lap, and the guy tells her to be a good whore. The "get off" option is refusing.
* When she's cleaning the hotel and the guy thinks the front desk lady sent her as a gift for him. She'll struggle and tell him to get off because she's the cleaner. If the check passes, she successfully refuses. You don't even get an option for this one.
If you have the Whore perk, then the guy *might* offer money and then you won't get any option to refuse.
* When in the cafeteria and Nate offers to take her somewhere for dessert, you get an option to refuse and even if you choose to agree she still might automatically refuse to do more than a blowjob.
Really enjoying the new Meek origin btw. I wanted to try Broken before, so it's nice that you can just start the game with it now.