>>520989937 (OP)
The games name is "Teaching Feeling". The plot is your character saves that guy in the op pic, and he comes back a few days later with the girl in the op pic as a thank you (without your character asking for that). The girl was abused by prior owner, not your character. Can't recall much of the actual content, but if you start to immediately use her, she dies, so you are inclined to be nice to her, "pat her head", bring her out to eat cake, and other non-sex stuff, before your character can actually use her, without her dying. It was a mediocre game.
What was a vaguely similar, and actually fun game, was called "Sealed Room Breed 2", which your character captured a teen school girl in your basement, and made a deal with her that if she complies for a month than you release her, and the game had many outcomes, starting from she just leaves, to stabbing your character to death the moment she is released, or to becoming your characters wife, or to be mindbroken doll, and a couple of others. That game was fun, with a set end goal in sight, actually required some planning, but it had action from the start, and had to move the girls stats toward your desired outcome, for which you have no hints prior, so you discover them as you play. That too had death of girl, if you abused the girl, and she then refused to eat because of that, grown weak, and die, but that required way more than usual amount of usage.