If you saw an inappropriate scene on TV and suspected that some fluid was discharged, then your menstrual period began before Iftar on the same day, do you have to make up for that day of fasting?

All praise is due to Allah, who guided you to stay away from the aforementioned series. The default is that no fluid is discharged, and if it is discharged unintentionally (whether madhy or maniy), it does not invalidate the fast. However, intentionally discharging it does invalidate the fast. The onset of menstruation before sunset invalidates the fast, and you have fulfilled your obligation by making up that day. You should increase in repentance, seeking forgiveness, and righteous deeds.