The woman's attorney is inexperienced and is really blundering into this case. He went on radio and stated multiple times, "Dak raped my client". He never uses the word allegedly or that this is according to his client. He is in so much trouble if he cannot prove his claims. Not only can he be sued for defamation, but he could be disbarred. His very new career as an attorney could end in a clumsy attempt to extort Dak Prescott for a big payday.
Then, he threatened a criminal complaint. If Dak really raped his client, and she can prove it, he would have filed that complaint already because it would bolster his civil case. But what it looks like is her attorney wants to avoid any investigation because investigations are double edged swords. He would have to show what evidence he has and if he is bluffing, it would be revealed pretty quickly.
It looks to me like her attorney thought he could squeeze a settlement out of Dak and Dak called his bluff. Now he is nervous that if this goes too far his client will be discovered to be a fraud. I commend Dak for not giving in. Counter-suing her means Dak is not afraid of an investigation and discovery. Dak's attorneys can force her attorney to put up whatever evidence he has. I hope Dak has the stomach to sue her attorney for defamation when the time comes. These bogus allegations of rape hurt actual victims.