Even with a paltry weaboo knowledge of Japanese, you can tell that's not what happens.
Murasaki's father agrees to not keep Murasaki locked up anymore. Murasaki agrees to stay with the Kououin family. Murasaki says "farewell" to Shinkuro, but Shinkuro corrects her, saying you're supposed to say "see you later" in this situation. GOOD END. And this is probably where the shitty manga starts from.