From the snippet you posted, I would guess that she thinks she can unilaterally terminate bio-dad's rights—that is, without his agreement. As a rule, it does not work that way except in cases of extreme abuse and the like, and child protective services and other authorities will then be involved.
Her main goal seems to be to stop him from seeing the daughter at all, as this little bit does not mention whether he is paying child support as he is supposed to. He probably is, or else she would have complained about that. Instead, her focus is on the child's "unimportance" to Duh, as she describes it. And this is only one side of the story. She sounds nasty enough to interfere with his visitation.
She might even be deluded enough to believe that he'll somehow still be obligated to pay child support if by some chance he agrees to terminate his rights and a judge permits it. Ha ha. Not so, of course. My brother's girlfriend, who had had his child, was under this delusion. She rescinded her offer to my bro to have him sign away his rights when she realized this.
If no other man, such as her present boyfriend, is willing to adopt the girl immediately and assume the legal responsibility, ordinarily no judge will terminate the father's rights. The judge will not want the possibility of the moo going on welfare for lack of a responsible male party.
I'm not a lawyer, not giving legal advice, etc., and your mileage may vary.