Per Kansas law on rape and allegations, it would seem they are looking at Severity 1 level - Depending on the circumstances of the crime, prosecutors can charge rape as a severity level 1 (use of force, victim incapacity, or underage victim), this would carry the reported possible sentence of severity level 1: 147 to 653 months (approx. 12 to 54 years) and $300,000.
I personally do not see TSJ using force, and also do not see him with an underage person. Aggravated Sodomy by Kansas law can and does fall within the "force of fear" description as defined by law for severity 1 however.
This would leave victim incapacitation as the presumed legal offense that would fall within the severity 1 level?
As someone else has stated, unwilling witness, (s), and or has another has stated a shakedown?
Shakedown doesn't make any sense, because once the case is in front of the DA, it cannot be dismissed as a result of a financial settlement. Only the DA to my knowledge can drop the charge and most will not regardless of circumstances changing, especially not $$$ exchanging hands.
Sexual Battery is the alternate charge, either way unless proven absolutely innocent, this kid's life is changing and already is.